Answer
$\approx -13.257$
Work Step by Step
$6^{x+3}=4^{x}\Rightarrow 6^{3}\times 6^{x}=4^{x}\Rightarrow \left( \dfrac {6}{4}\right) ^{x}=6^{-3}\Rightarrow x=\log _\frac {6}{4}6^{-3}\approx -13.257$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises - Page 492: 39
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