Solve the following equations for x:2^ 5x+3 =8^ x+3 - Vidyadip

Question

Solve the following equations for x:$2^{5\text{x}+3}=8^{\text{x}+3}$

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Answer

We have,$=2^{5\text{x}+3}=8^{\text{x}+3}$
$=2^{5\text{x}+3}=2^{\text{3x}+9}$
$=5\text{x}+3=3\text{x}+9$
$=2\text{x}=6$
$=\text{x}=3$

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