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: 19

Answer

$200$

Work Step by Step

RECALL: (1) $(a^m)^n=a^{mn}$ (2) $\log_b{(b^x)}=x$ Write $16$ as $4^2$ to obtain: $=\log_4{[(4^2)^{100}]}$ Use rule (1) above to obtain: $=\log_4{\left(4^{2(100)}\right)} \\=\log_4{(4^{200})}$ Use rule (2) above to obtain: $=200$
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