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: 106

Answer

2 and 3

Work Step by Step

If $b\gt0$ and $b\ne1$, then $y=log_{b}x$ means $x=b^{y}$ for every $x\gt0$ and every real number $y$. Therefore, $log_{3}10=y$ is equivalent to $3^{y}=10$. We know that $3^{2}=9$ and $3^{3}=27$, so we would expect $y$ to be somewhere between 2 and 3.
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