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: 94a

Answer

$g(3)=.027$

Work Step by Step

We are given that $f(x)=log_{.3}x$ and that $g(x)=.3^{x}$ is the inverse of $f(x)$. We are also told that the ordered pair (3,.027) is a solution of the function $g(x)$. This can be written in function notation as $g(3)=.027$, which tells us that $g(x)$ has a value of .027 when $x=3$. $g(3)=.3^{3}=.27$
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