Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.5 - Logarithmic Functions - Exercise Set: 93a

Answer

$g(2)=25$

Work Step by Step

We are given that $f(x)=log_{5}x$ and that $g(x)=5^{x}$ is the inverse of $f(x)$. We are also told that the ordered pair (2,25) is a solution of the function $g(x)$. In function notation, we know that $g(2)=25$. This tells us that when $x=2$, the value of $g(x)$ is 25. $g(2)=5^{2}=25$
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