Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.6 - Exponential and Logarithmic Equations; Further Applications - 9.6 Exercises: 5

Answer

0.827

Work Step by Step

We are given the equation $7^{x}=5$. In order to solve, we must first take the natural log of both sides. $ln(7^{x})=ln(5)$ $xln(7)=ln(5)$ Divide both sides by $ln(7)$. $x=\frac{ln(5)}{ln(7)}\approx0.827$
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