Maths-
General
Easy

Question

Solve for the value of m of the following-
a. 7m = 343
b. 2m-3 = 1

hintHint:

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a              n times.

The correct answer is: For both the given equations, m = 3.


    Step-by-step solution:-
    a. 7m = 343
    ∴ 7m = 73
    ∴ m = 3 …............................. (Exponents of the same base in an equation are equal)
    b. 2m-3 = 1
    We know that b0 = 1 i.e. Anything raised to 0 is equal to 1.
    Since we have 1 in the RHS of the given equation, we can conclude that-
    2m-3 = 20 ................ (because 20 = 1)
    ∴ m-3 = 0 ................. (Exponents of the same base in an equation are equal)
    ∴ m = 3
    Final Answer:-
    ∴ For both the given equations, m = 3.

    Related Questions to study

    General
    Maths-

    straight angle A of an isosceles triangle ABC is acute in which  AB = AC and BDperpendicularAC . Prove that
    B C squared equals 2 cross times A C cross times C D text .  end text

    straight angle A of an isosceles triangle ABC is acute in which  AB = AC and BDperpendicularAC . Prove that
    B C squared equals 2 cross times A C cross times C D text .  end text

    Maths-General
    General
    Maths-

    Convert the following fraction to decimal
    a) 9/11

    Convert the following fraction to decimal
    a) 9/11

    Maths-General
    General
    Maths-

    Express the following recurring decimals as vulgar fraction
    b) 0.743434343......

    Express the following recurring decimals as vulgar fraction
    b) 0.743434343......

    Maths-General
    parallel
    General
    Maths-

    ABC is a triangle in which AB = AC. P is any point in its interior such
    thatstraight angle ABP equals straight angle ACP. Prove that AP bisects straight angle BAC

    ABC is a triangle in which AB = AC. P is any point in its interior such
    thatstraight angle ABP equals straight angle ACP. Prove that AP bisects straight angle BAC

    Maths-General
    General
    Maths-

    Evaluate:
    a−3b−4 / a−2b−3

    Evaluate:
    a−3b−4 / a−2b−3

    Maths-General
    General
    Maths-

    Prove that ∠BAC ≅ ∠CAD

    Prove that ∠BAC ≅ ∠CAD

    Maths-General
    parallel
    General
    Maths-

    Express the following recurring decimals as vulgar fraction
    a) 0.444444444

    Express the following recurring decimals as vulgar fraction
    a) 0.444444444

    Maths-General
    General
    Maths-

    (32)3 + (2/3)0 + 35 × (1/3)4

    (32)3 + (2/3)0 + 35 × (1/3)4

    Maths-General
    General
    Maths-

    Express 0.5248 in the lowest form.

    Express 0.5248 in the lowest form.

    Maths-General
    parallel
    General
    Maths-

    Write the following numbers in the scientific notation : 0.00000000065

    Write the following numbers in the scientific notation : 0.00000000065

    Maths-General
    General
    Maths-

    Write the following numbers in the scientific notation : a) 5,07,460000000

    Write the following numbers in the scientific notation : a) 5,07,460000000

    Maths-General
    General
    Maths-

    A town has about 25,00 people living in it and the mayor wants to send each person 10,00 as a celebration gift because the town won the Federal Lottery for Small Towns. How much money would the town need to give out this celebration gift?

    A town has about 25,00 people living in it and the mayor wants to send each person 10,00 as a celebration gift because the town won the Federal Lottery for Small Towns. How much money would the town need to give out this celebration gift?

    Maths-General
    parallel
    General
    Maths-

    The temperature halfway to the Sun from venus is approximately 1,800° c and scientists theorize that it may be up to 26,000 times hotter at the center of the Sun. Approximately how hot is it at the center of the Sun?

    The temperature halfway to the Sun from venus is approximately 1,800° c and scientists theorize that it may be up to 26,000 times hotter at the center of the Sun. Approximately how hot is it at the center of the Sun?

    Maths-General
    General
    Maths-

    A state has an area of approximately 9,604,100,000 square miles and has approximately 110,000 people. How much area is this per person?

    A state has an area of approximately 9,604,100,000 square miles and has approximately 110,000 people. How much area is this per person?

    Maths-General
    General
    Maths-

    Convert the following fractions to repeating decimals
    d) 1 over 6

    Convert the following fractions to repeating decimals
    d) 1 over 6

    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.