Question the-fu

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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The function g is defined by gx=6x. For what value of x is g(x)=54 ?

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The function g is defined by g x = 6 x . For what value of

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 9 . It’s given that gx=6x. Substituting 54 for gx in the given function yields 54 = 6 x . Dividing both sides of this equation by 6 yields x = 9 . Therefore, the value of x when gx=54 is 9 .