Answer
$x=-\frac{3}{2}$
Work Step by Step
$4^{x-3}=8^{2x}\\(2^2)^{x-3}=(2^3)^{2x}\\2^{2(x-3)}=2^{3(2x)}\\2^{2x-6}=2^{6x}$.
We know that if $x\ne1,\ne-1$ then $x^a=x^b\longrightarrow a=b$.
Hence here: $2x-6=6x\\2x=6x+6\\-4x=6\\x=-\frac{3}{2}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - Chapter Review - Cumulative Review - Page 349: 12
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