Answer
$\frac{ln3}{ln4+2ln3}\approx 0.307$
Work Step by Step
$3^{1-2x}=4^x \Longrightarrow ln3^{1-2x}=ln4^x \Longrightarrow (1-2x)ln3=x\ ln4 \Longrightarrow ln3=(ln4+2ln3)x \Longrightarrow x=\frac{ln3}{ln4+2ln3}\approx 0.307$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.6 Logarithmic and Exponential Equations - 4.6 Assess Your Understanding - Page 337: 49
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