Intermediate Algebra (12th Edition)

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

Chapter 9 - Section 9.2 - Exponential Functions - 9.2 Exercises: 30

Answer

$x=\frac{2}{3}$

Work Step by Step

We are given the equation $8^{x}=4$. First, we must write both sides using the same base. $((2)^{3})^{x}=2^{3x}=2^{2}$ Next, we must take the natural log of both sides. $ln(2^{3x})=ln(2^{2})$ $3xln(2)=2ln(2)$ Divide both sides by $ln(2)$. $3x=2$ Divide both sides by 3. $x=\frac{2}{3}$
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