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If a=2^x, f(a) denotes x. What is the value of (2^{4(m-2)}/

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If a=2^x, f(a) denotes x. What is the value of (2^{4(m-2)}/

by Max@Math Revolution » Fri Nov 01, 2019 1:34 am
[GMAT math practice question]

If a=2^x, f(a) denotes x. What is the value of (2^{4(m-2)}/4^{2m-8})?

A. 6
B. 8
C. 10
D. 12
E. 14
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by Max@Math Revolution » Sun Nov 03, 2019 6:19 pm
=>

Since a = 2^x and f(a) = x, we have f(2^x) = x.
Then f(2^{4(m-2)4/^{2m-8}) = f(2^{4(m-2)}/2^{2(2m-8)}) = f(2^{4(m-2) - 2(2m-8)})= f(2^{4m-8-4m+16}) = f(2^8)= 8.

Therefore, B is the answer.
Answer: B
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