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Jet001 [13]
3 years ago
9

Given the function f(x) = 2^x, find the value of f^−1(32).

Mathematics
1 answer:
klio [65]3 years ago
5 0
f(x)= 2^{x}

We are to find the value of f^{-1}(32)

First we need to find the inverse of f(x) . The inverse of 2^{x} is \frac{ln(x)}{ln(2)}.

Steps to find inverse of f(x) are shown below in the image.

So f^{-1}(32) = \frac{ln(32)}{ln(2)}=5

Therefore, the correct answer is option C

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