Question

What is the solution of (x+2)³/₄=27 ? (A) x=27 (B) x=79 (C) x=81 (D) x=83

Answer 1

The solution (B) x=79.

Rewriting the equation to find the solution -

(x+2)³/₄=27

Raising both sides of the equation with exponent ⁴/₃

((x+2)³/₄)⁴/₃ = 27⁴/₃

Cancelling the exponents on Left Hand Side of the equation. Writing the value on Right Hand Side of the equation in exponent form

x + 2 =  (3³)⁴/₃

Cancelling 3 on Right Hand Side of the equation

x + 2 = 3⁴

Solving Right Hand Side of the equation

x + 2 = 81

Shifting 2 to Right Hand Side of the equation

x = 81 - 2

Performing subtraction on Right Hand Side of the equation

x = 79

Hence, the solution is (B) x=79.

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