The function f is defined by f x = 8 x . For what value of x does f x

Question

The function f is defined by f x = 8 x . For what value of x does f x = 48 ?

Accepted Answer

Choice C is correct. It's given that f x = 8 x . Substituting 48 for f x in this equation yields 48 = 8 x . Dividing both sides of this equation by 8 yields 6 = x . This can be rewritten as x = 6 . Squaring both sides of this equation yields x = 36 . Therefore, the value of x for which f x = 48 is 36 . Choice A is incorrect. If x = 6 , f x = 8 6 , not 48 . Choice B is incorrect. If x = 8 , f x = 8 8 , not 48 . Choice D is incorrect. If x = 64 , f x = 8 64 , which is equivalent to 64 , not 48 .

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