#### Answer

$\approx 2.269$

#### Work Step by Step

$2^{x+3}=5^{x}\Rightarrow 8\times 2^{x}=5^{x}\Rightarrow \left( \dfrac {5}{2}\right) ^{x}=8\Rightarrow x=\log _{\frac {5}{2}}8\approx 2.269$

Published by
Pearson

ISBN 10:
013421742X

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

$\approx 2.269$

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