Maths-
General
Easy

Question

Solve the equation left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4

Hint:

Rearrange the equation and then solve for x.

The correct answer is: ⇒ x = 10


    Complete step by step solution:
    Here we have the equation left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 end exponent equals 4
    To make the power of the equation as 1, we have to raise the equation by 5 over 2

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow left parenthesis 3 x plus 2 right parenthesis to the power of 2 over 5 cross times 5 over 2 end exponent equals 4 to the power of 5 over 2 end exponent end cell row space of 1em end table

    not stretchy rightwards double arrow 3 x plus 2 equals square root of 4 to the power of 5 end root

    table attributes columnspacing 1em end attributes row cell not stretchy rightwards double arrow 3 x plus 2 equals 32 end cell row blank end table

    not stretchy rightwards double arrow 3 x equals 30
    rightwards double arrow x space equals space 10

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