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 - Page 388: 28

Answer

(a) $5$ (b) $17$ (c) $0$

Work Step by Step

RECALL: (1) $\log_b{b}=1$ (2) $\log_b{1}=0$ (3) $\log_b{b^x}=x$ (a) Write $32$ as $2^5$, then use rule (3) above to obtain: $=\log_2{2^5} \\=5$ (b) Use rule (3) above to obtain: $=\log_8{8^{17}} \\=17$ (c) Use rule (2) above to obtain: $\log_6{1}=0$
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