image

    Have a query? Ask a Tutor!!

    Access to best educators and exclusive paper discussions

    Offsite Campus

    Can’t find what you’re looking for?

    Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

    • Homework- One to One Solutions
    • Understand concepts to solve better
    • Get your doubts solved instantly
    Maths-
    General
    Easy

    Question

    The value of log subscript e end subscript invisible function application open parentheses 1 plus a x to the power of 2 end exponent plus a to the power of 2 end exponent plus fraction numerator a over denominator x to the power of 2 end exponent end fraction close parentheses is

    1. a open parentheses x to the power of 2 end exponent minus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction close parentheses minus fraction numerator a to the power of 2 end exponent over denominator 2 end fraction open parentheses x to the power of 4 end exponent minus fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator a to the power of 3 end exponent over denominator 3 end fraction open parentheses x to the power of 6 end exponent minus fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses minus.....    
    2. a open parentheses x to the power of 2 end exponent plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction close parentheses minus fraction numerator a to the power of 2 end exponent over denominator 2 end fraction open parentheses x to the power of 4 end exponent plus fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator a to the power of 3 end exponent over denominator 3 end fraction open parentheses x to the power of 6 end exponent plus fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses minus.....    
    3. a open parentheses x to the power of 2 end exponent plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction close parentheses plus fraction numerator a to the power of 2 end exponent over denominator 2 end fraction open parentheses x to the power of 4 end exponent plus fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator a to the power of 3 end exponent over denominator 3 end fraction open parentheses x to the power of 6 end exponent plus fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses plus.....    
    4. a open parentheses x to the power of 2 end exponent minus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction close parentheses plus fraction numerator a to the power of 2 end exponent over denominator 2 end fraction open parentheses x to the power of 4 end exponent minus fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator a to the power of 3 end exponent over denominator 3 end fraction open parentheses x to the power of 6 end exponent minus fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses plus.....    

    The correct answer is: a open parentheses x to the power of 2 end exponent plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction close parentheses minus fraction numerator a to the power of 2 end exponent over denominator 2 end fraction open parentheses x to the power of 4 end exponent plus fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator a to the power of 3 end exponent over denominator 3 end fraction open parentheses x to the power of 6 end exponent plus fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses minus.....

      log subscript e end subscript invisible function application open square brackets 1 plus a x to the power of 2 end exponent plus a to the power of 2 end exponent plus fraction numerator a over denominator x to the power of 2 end exponent end fraction close square brackets
      equals log subscript e end subscript invisible function application left parenthesis 1 plus a x to the power of 2 end exponent right parenthesis open parentheses 1 plus fraction numerator a over denominator x to the power of 2 end exponent end fraction close parentheses
      equals log subscript e end subscript invisible function application left parenthesis 1 plus a x to the power of 2 end exponent right parenthesis plus log subscript e end subscript invisible function application open parentheses 1 plus fraction numerator a over denominator x to the power of 2 end exponent end fraction close parentheses
      = open square brackets a x to the power of 2 end exponent minus fraction numerator 1 over denominator 2 end fraction a to the power of 2 end exponent x to the power of 4 end exponent plus fraction numerator 1 over denominator 3 end fraction a to the power of 3 end exponent x to the power of 6 end exponent minus........... close square brackets plus open square brackets fraction numerator a over denominator x to the power of 2 end exponent end fraction minus fraction numerator 1 over denominator 2 end fraction a to the power of 2 end exponent open parentheses fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator 1 over denominator 3 end fraction a to the power of 3 end exponent open parentheses fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses minus..... close square brackets
      equals a open parentheses x to the power of 2 end exponent plus fraction numerator 1 over denominator x to the power of 2 end exponent end fraction close parentheses minus fraction numerator 1 over denominator 2 end fraction. a to the power of 2 end exponent open parentheses x to the power of 4 end exponent plus fraction numerator 1 over denominator x to the power of 4 end exponent end fraction close parentheses plus fraction numerator 1 over denominator 3 end fraction a to the power of 3 end exponent open parentheses x to the power of 6 end exponent plus fraction numerator 1 over denominator x to the power of 6 end exponent end fraction close parentheses minus...

      Related Questions to study

      General
      Maths-

      The sum of the products of the elements of any row of a determinant A with the same row is always equal to

      The sum of the products of the elements of any row of a determinant A with the same row is always equal to

      Maths-General
      General
      Maths-

      open vertical bar table row cell a to the power of 2 end exponent plus x to the power of 2 end exponent end cell cell a b end cell cell c a end cell row cell a b end cell cell b to the power of 2 end exponent plus x to the power of 2 end exponent end cell cell b c end cell row cell c a end cell cell b c end cell cell c to the power of 2 end exponent plus x to the power of 2 end exponent end cell end table close vertical bar is divisor of

      open vertical bar table row cell a to the power of 2 end exponent plus x to the power of 2 end exponent end cell cell a b end cell cell c a end cell row cell a b end cell cell b to the power of 2 end exponent plus x to the power of 2 end exponent end cell cell b c end cell row cell c a end cell cell b c end cell cell c to the power of 2 end exponent plus x to the power of 2 end exponent end cell end table close vertical bar is divisor of

      Maths-General
      General
      Maths-

      If open vertical bar table row 1 k 3 row 3 k cell negative 2 end cell row 2 3 cell negative 1 end cell end table close vertical bar equals 0,then the value of k is

      If open vertical bar table row 1 k 3 row 3 k cell negative 2 end cell row 2 3 cell negative 1 end cell end table close vertical bar equals 0,then the value of k is

      Maths-General
      parallel
      General
      Maths-

      The value of the determinant open vertical bar table row 31 37 92 row 31 58 71 row 31 105 24 end table close vertical baris

      The value of the determinant open vertical bar table row 31 37 92 row 31 58 71 row 31 105 24 end table close vertical baris

      Maths-General
      General
      Maths-

      If open vertical bar table row cell lambda to the power of 2 end exponent plus 3 lambda end cell cell lambda minus 1 end cell cell lambda plus 3 end cell row cell lambda plus 1 end cell cell 2 minus lambda end cell cell lambda minus 4 end cell row cell lambda minus 3 end cell cell lambda plus 4 end cell cell 3 lambda end cell end table close vertical bar comma the value of t is

      If open vertical bar table row cell lambda to the power of 2 end exponent plus 3 lambda end cell cell lambda minus 1 end cell cell lambda plus 3 end cell row cell lambda plus 1 end cell cell 2 minus lambda end cell cell lambda minus 4 end cell row cell lambda minus 3 end cell cell lambda plus 4 end cell cell 3 lambda end cell end table close vertical bar comma the value of t is

      Maths-General
      General
      Maths-

      If a comma b comma care unequal what is the condition that the value of the following determinant is zero capital delta equals open vertical bar table row a cell a to the power of 2 end exponent end cell cell a to the power of 3 end exponent plus 1 end cell row b cell b to the power of 2 end exponent end cell cell b to the power of 3 end exponent plus 1 end cell row c cell c to the power of 2 end exponent end cell cell c to the power of 3 end exponent plus 1 end cell end table close vertical bar

      If a comma b comma care unequal what is the condition that the value of the following determinant is zero capital delta equals open vertical bar table row a cell a to the power of 2 end exponent end cell cell a to the power of 3 end exponent plus 1 end cell row b cell b to the power of 2 end exponent end cell cell b to the power of 3 end exponent plus 1 end cell row c cell c to the power of 2 end exponent end cell cell c to the power of 3 end exponent plus 1 end cell end table close vertical bar

      Maths-General
      parallel
      General
      Maths-

      If – 9 is a root of the equation open vertical bar table row x 3 7 row 2 x 2 row 7 6 x end table close vertical bar equals 0then the other two roots are

      If – 9 is a root of the equation open vertical bar table row x 3 7 row 2 x 2 row 7 6 x end table close vertical bar equals 0then the other two roots are

      Maths-General
      General
      Maths-

      If omegais a cube root of unity, then open vertical bar table row cell x plus 1 end cell omega cell omega to the power of 2 end exponent end cell row omega cell x plus omega to the power of 2 end exponent end cell 1 row cell omega to the power of 2 end exponent end cell 1 cell x plus omega end cell end table close vertical bar equals

      If omegais a cube root of unity, then open vertical bar table row cell x plus 1 end cell omega cell omega to the power of 2 end exponent end cell row omega cell x plus omega to the power of 2 end exponent end cell 1 row cell omega to the power of 2 end exponent end cell 1 cell x plus omega end cell end table close vertical bar equals

      Maths-General
      General
      Maths-

      open vertical bar table row cell b to the power of 2 end exponent plus c to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell c to the power of 2 end exponent plus a to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell c to the power of 2 end exponent end cell cell c to the power of 2 end exponent end cell cell a to the power of 2 end exponent plus b to the power of 2 end exponent end cell end table close vertical bar equals

      open vertical bar table row cell b to the power of 2 end exponent plus c to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell c to the power of 2 end exponent plus a to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell c to the power of 2 end exponent end cell cell c to the power of 2 end exponent end cell cell a to the power of 2 end exponent plus b to the power of 2 end exponent end cell end table close vertical bar equals

      Maths-General
      parallel
      General
      Maths-

      In the expansion of fraction numerator 1 plus x over denominator 1 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 2 end exponent over denominator 2 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 3 end exponent over denominator 3 factorial end fraction plus..... comma the coefficient of x to the power of n end exponent will be

      In the expansion of fraction numerator 1 plus x over denominator 1 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 2 end exponent over denominator 2 factorial end fraction plus fraction numerator left parenthesis 1 plus x right parenthesis to the power of 3 end exponent over denominator 3 factorial end fraction plus..... comma the coefficient of x to the power of n end exponent will be

      Maths-General
      General
      Maths-

      The value of log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e.... is equal to

      The value of log subscript 3 end subscript invisible function application e minus log subscript 9 end subscript invisible function application e plus log subscript 27 end subscript invisible function application e.... is equal to

      Maths-General
      General
      Maths-

      The sum to infinity of the given series fraction numerator 1 over denominator n end fraction minus fraction numerator 1 over denominator 2 n to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 n to the power of 3 end exponent end fraction minus fraction numerator 1 over denominator 4 n to the power of 4 end exponent end fraction plus.... is

      The sum to infinity of the given series fraction numerator 1 over denominator n end fraction minus fraction numerator 1 over denominator 2 n to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 n to the power of 3 end exponent end fraction minus fraction numerator 1 over denominator 4 n to the power of 4 end exponent end fraction plus.... is

      Maths-General
      parallel
      General
      Maths-

      log subscript a end subscript invisible function application x is defined for left parenthesis a greater than 0 right parenthesis

      log subscript a end subscript invisible function application x is defined for left parenthesis a greater than 0 right parenthesis

      Maths-General
      General
      Maths-

      The sum of the seriesfraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals

      The sum of the seriesfraction numerator 1 over denominator 2.3 end fraction plus fraction numerator 1 over denominator 4.5 end fraction plus fraction numerator 1 over denominator 6.7 end fraction plus... equals

      Maths-General
      General
      Maths-

      fraction numerator 1 over denominator 5 end fraction plus fraction numerator 1 over denominator 2 end fraction. fraction numerator 1 over denominator 5 to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 end fraction. fraction numerator 1 over denominator 5 to the power of 3 end exponent end fraction plus..... infinity equals

      fraction numerator 1 over denominator 5 end fraction plus fraction numerator 1 over denominator 2 end fraction. fraction numerator 1 over denominator 5 to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator 3 end fraction. fraction numerator 1 over denominator 5 to the power of 3 end exponent end fraction plus..... infinity equals

      Maths-General
      parallel

      card img

      With Turito Academy.

      card img

      With Turito Foundation.

      card img

      Get an Expert Advice From Turito.

      Turito Academy

      card img

      With Turito Academy.

      Test Prep

      card img

      With Turito Foundation.