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 - Section 9.4 - Properties of Logarithms - Exercise Set - Page 712: 42



Work Step by Step

RECALL: $\log_b{a}-\log_b{c} = \log_b{(\frac{a}{c})}$ Use the rule above to obtain: $=\log_3{(\frac{405}{5})} \\=\log_3{81}$ Write $81$ as $3^4$ to obtain: $=\log_3{3^4}$ Use the rule $\log_b{b^x} = x$ to obtain: $=4$
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