College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 423: 18



Work Step by Step

Rewrite the equation in exponent format using the definition of logarithm. $7^x=\sqrt[5]{7}$ Rewrite $\sqrt[5]{7}$ and $7^{\frac{1}{5}}$ to get two bases that are the same. $7^x=7^\frac{1}{5}$ If $a^b=a^c$, then $b=c$. Therefore, $x=\frac{1}{5}$. $x=\frac{1}{5}$
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