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: 9

Answer

$4$

Work Step by Step

RECALL: (1) $\log_b{M} + \log_b\log{N} = \log_b{MN}$ (2) $\log_b{M} - \log_b{N} = \log_b{\frac{M}{N}}$ (3) $\log_b{b^x} = x$ Use rule (1) above to obtain: $=\log{50(200)} \\=\log{10,000}$ Write $10,000$ as $10^4$ to obtain: $=\log{10^4}$ Use rule (3) above with $b=10$ to obtain: $=4$
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