Solve the equation \( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)}\)

Explanation

\( 5^{(x − 2)} = (125^{−1} )^{(x + 3)}\\

5^{(x − 2)} = (5− 3)^{x + 3}\\

5^{(x − 2)} = 5^{− 3x − 9}\\

x + 3x = − 9 + 2\\

4x = − 7\\

x = \frac{−7}{4} \)

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