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: 9

Answer

1.201

Work Step by Step

We are given the equation $3^{2x}=14$. In order to solve, we must first take the natural log of both sides. $ln(3^{2x})=ln(14)$ $2xln(3)=ln(14)$ Divide both sides by $ln(3)$. $2x=\frac{ln(14)}{ln(3)}$ Divide both sides by 2. $x=\frac{ln(14)}{2ln(3)}\approx1.201$
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