Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.5 Apply Properties of Logarithms - 7.5 Exercises - Problem Solving - Page 512: 73a

Answer

See below

Work Step by Step

We have the power property of logarithms: $s=\log_2 f^2=2.\log_2 f$ Substitute: $s=2.\log_2 (1.414)\\=2\times049978\\s=2\times \log_2 (5.657)\\=2 \times2.5=5\\s=2\times \log_2(16)\\=2\times 4=8$
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