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: 26

Answer

(a) $7$ (b) $3$ (c) $3$

Work Step by Step

RECALL: (1) $\log_b{b}=1$ (2) $\log_b{1}=0$ (3) $\log_b{b^x}=x$ (a) Use rule (3) above to obtain: $\log_3{3^7}=7$ (b) Write 64 as $4^3$, then use rule (3) above to obtain: $=\log_4{4^3} \\=3$ (c) Write 125 as $5^3$, then use rule (3) above to obtain: $=\log_5{5^3} \\=3$
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