Exponential Inequality

Algebra Level 2

Let aa and bb be the minimum and maximum values of xx, respectively, that satisfy the inequality 2x(22x+8)8x(52x). 2 ^x (2 \cdot 2 ^x + 8) \leq 8 ^x (5 - 2 ^x). What is the value of a+b? a + b?

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