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Formula
Solve the equation
Graph
$y = 2 ^ { x + 5 }$
$y = 8 ^ { 3 }$
$y$Intercept
$\left ( 0 , 32 \right )$
Asymptote
$y = 0$
$2 ^{ x+5 } = 8 ^{ 3 }$
$x = 4$
Solve the equation
$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } } = \color{#FF6800}{ 8 } ^ { \color{#FF6800}{ 3 } }$
 Solve the exponential equation (inequality) by unifying the bases of the exponents 
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } = \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
$x + 5 = \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 }$
 Multiply $3$ and $3$
$x + 5 = \color{#FF6800}{ 9 }$
$x \color{#FF6800}{ + } \color{#FF6800}{ 5 } = 9$
 Move the constant to the right side and change the sign 
$x = 9 \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$x = \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
 Subtract $5$ from $9$
$x = \color{#FF6800}{ 4 }$
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