Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 470: 98

Answer

$x=e^{\frac{D-160}{10}}$

Work Step by Step

The given expression can be written as: $D-160=10 \log x$ We need to take log of both sides and apply logarithmic property : $\log a^ b=b \log a$ . $ \log x=\dfrac{D-160}{10}$ Therefore, our answer is: $x=e^{\frac{D-160}{10}}$
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