Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.3 - Logarithmic Functions - 9.3 Exercises - Page 606: 77

Answer

4

Work Step by Step

For any positive real number $b$ (such that $b\ne1$), we know that $log_{b}b^{r}=r$ (as long as $r\gt0$). For $log_{3}81$: We know that $3^{4}=81$, so we can replace 81 with $3^{4}$. Therefore, $log_{3}81=log_{3}3^{4}=4$.
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