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 4.4 - Laws of Logarithms - 4.4 Exercises - Page 395: 20



Work Step by Step

RECALL: (1) $(a^m)^n=a^{mn}$ (2) $\log_b{(b^x)}=x$ Write $8$ as $2^3$ to obtain: $=\log_2{[(2^3)^{33}]}$ Use rule (1) above to obtain: $=\log_2{\left(2^{3(33)}\right)} \\=\log_2{(2^{99})}$ Use rule (2) above to obtain: $=99$
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