Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.3 Logarithmic Functions - 4.3 Exercises - Page 447: 98

Answer

$-0.1303$

Work Step by Step

$log_{10}(\frac{20}{27})=log_{10}(\frac{2\cdot 10}{3^3})\\ =log_{10}2+log_{10}(10)-3log_{10}3\\ \approx0.3010+1-3(0.4771)\\ =-0.1303$
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