#### Answer

$\dfrac {1}{5}$

#### Work Step by Step

$27^{4x}=9^{x+1}\Rightarrow \left( 3^{3}\right) ^{4x}=\left( 3^{2}\right) ^{x+1}\Rightarrow 3^{12x}=3^{2x+2}\Rightarrow 12x=2x+2\Rightarrow 10x=2\Rightarrow x=\dfrac {2}{10}=\dfrac {1}{5}$

Published by
Pearson

ISBN 10:
013421742X

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

$\dfrac {1}{5}$

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