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: 96

Answer

$I=I_0\cdot 10^{\frac{d}{10}}$

Work Step by Step

$d=10\ log(\frac{I}{I_0})\longrightarrow log(\frac{I}{I_0})=\frac{d}{10} \longrightarrow \frac{I}{I_0}=10^{\frac{d}{10}} \longrightarrow I=I_0\cdot 10^{\frac{d}{10}}$
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