Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Mid-Chapter Check Point - Page 715: 23



Work Step by Step

Note that $81=3^4$. Thus, the given expression is equivalent to: $=\log_2{(\log_3{(3^4)})}$ RECALL: $\log_b{b^x} = x$ Use the rule above to obtain: $=\log_2{4}$ Write $4$ as $2^2$ to obtain: $=\log_2{(2^2)}$ Use the rule in the RECALL part above to obtain: $=2$
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