#### 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 $
$x=\log _{\dfrac {6}{81}}648\approx -2.487$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$\approx -2.487$

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