Question

If $f(x) = 5^x$, then $f^{-1}(x^2) = ?$ (Hint: When solving $f(x) = 5^x$ for $x$, take the log base 5 of both sides.) After you pick your answer press GO. A. $x^5$ B. $x^2$ C. $log_x 5x^2$ D. $log_5 2x$ E. $2 log_5 x$

          If $f(x) = 5^x$, then $f^{-1}(x^2) = ?$ (Hint: When solving $f(x) = 5^x$ for $x$, take the log base 5 of both sides.)
After you pick your answer press GO.
A. $x^5$
B. $x^2$
C. $log_x 5x^2$
D. $log_5 2x$
E. $2 log_5 x$

Added by Karen W.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Adi S

11/07/2023

Step 1

Taking the log base 5 of both sides, we get: log_5(f(x)) = log_5(5^(x)) log_5(f(x)) = x Show more…

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If f(x)=5^(x), then f^(-1)(x^(2))= ? (Hint: When solving f(x)=5^(x) for x, take the log base 5 of both sides.) A. x^(5) B. x^(2) C. log_(x)5x^(2) D. log_(5)2x E. 2log_(5)x If f(x) = 5x then f-1(x2)=? (Hint: When solving f(x) = 5x for x, take the log base 5 of both sides.) After you pick your answer press GO A.x5 B.2 C.logx 5x2 GO D.log5 2x E.2 log5 x