Answer
$\frac{\ln3}{\ln4-\ln3}\approx3.819$
Work Step by Step
$4^x=3^{x+1}$,
$ln4^x=ln3^{x+1}$,
$x\ ln4=(x+1)ln3$,
$(ln4-ln3)x=ln3$,
$x=\frac{ln3}{ln4-ln3}\approx3.819$
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 7 - Applications of Trigonometric Functions - Section 7.3 The Law of Cosines - 7.3 Assess Your Understanding - Page 561: 65
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