Answer
0.792
Work Step by Step
We are given the equation $4^{x}=3$. In order to solve, we must first take the natural log of both sides.
$ln(4^{x})=ln(3)$
$xln(4)=ln(3)$
Divide both sides by $ln(4)$.
$x=\frac{ln(3)}{ln(4)}\approx0.792$
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
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 - Page 630: 6
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