Answer
$\approx -2.487$
Work Step by Step
$6^{x-3}=3^{4x+1}\Rightarrow \dfrac {6^{x}}{6^{3}}=3^{4x}\times 3\Rightarrow \left( \dfrac {6}{3^{4}}\right) ^{x}=648\Rightarrow $
$x=\log _{\dfrac {6}{81}}648\approx -2.487$
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: 45
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