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