Question

${2}^{2x + 3} = {8}^{5 + x}$
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Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

x = -12

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$\displaystyle2^{2x+3} = 8^{5+x}\\ \\\Rightarrow 2^{2x+3} = (2^3)^{5+x}\\ \\\Rightarrow 2^{2x+3} = 2^{3(5+x)}\\ \\\Rightarrow 2x+3 = 3(5+x)\\ \\\Rightarrow 2x+3 = 15 + 3x\\ \\\Rightarrow x = -12$