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Advanced Math / Nonlinear functions Difficulty: Easy

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

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Explanation

Choice C is correct. It's given that fx=8x. Substituting 48 for fx in this equation yields 48=8x. 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 fx=48 is 36 .

Choice A is incorrect. If x=6, fx=86, not 48 .

Choice B is incorrect. If x=8, fx=88, not 48 .

Choice D is incorrect. If x=64, fx=864, which is equivalent to 64 , not 48 .