Answer
A
Work Step by Step
Using the rules of logarithms to solve the equation, we find:
$$\log _8\left(2x+7\right)=\frac{2}{3} \\ \log _8\left(2x+7\right)=\log _8\left(4\right) \\ 2x+7=4 \\ x=-\frac{3}{2}$$
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