College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 27

Answer

(a) $2$ (b) $2$ (c) $10$

Work Step by Step

RECALL: (1) $\log_b{b}=1$ (2) $\log_b{1}=0$ (3) $\log_b{b^x}=x$ (a) Write $36$ as $6^2$, then use rule (3) above to obtain: $=\log_6{6^2} \\=2$ (b) Write $81$ as $9^2$, then use rule (3) above to obtain: $=\log_9{9^2} \\=2$ (c) Use rule (3) above to obtain: $=\log_7{7^{10}} \\=10$
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