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Solve the equation

Answer

Graph

$y = 2 ^ { x + 2 } + 2 ^ { x + 1 } + 2 ^ { x }$

$y = 224$

$y$Intercept

$\left ( 0 , 7 \right )$

$x = 5$

Solve the equation

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } ^ { \color{#FF6800}{ x } } = \color{#FF6800}{ 224 }$

$ $ Substitute $ 2 ^ { x } $ with $ X $ and solve $ $

$\color{#FF6800}{ 2 } ^ { \color{#FF6800}{ x } } = \color{#FF6800}{ 32 }$

$ $ Solve the exponential equation (inequality) by unifying the bases of the exponents $ $

$\color{#FF6800}{ x } = \color{#FF6800}{ 5 }$

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