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: 10

Answer

0.497

Work Step by Step

We are given the equation $5^{3x}=11$. In order to solve, we must first take the natural log of both sides. $ln(5^{3x})=ln(11)$ $3xln(5)=ln(11)$ Divide both sides by $ln(5)$. $3x=\frac{ln(11)}{ln(5)}$ Divide both sides by 3. $x=\frac{ln(11)}{3ln(5)}\approx0.497$
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