Question

5^(2x+3)=625^(x+2)

please answer with steps​

Answer 1

Answer:

${5}^{2x + 3} = {625}^{x + 2} \\ {5}^{2x + 3} = {5}^{4(x + 2)} \\ {5}^{2x + 3} = {5}^{4x + 8} \\ by \: focusing \: on \: the \: power \\ 2x + 3 = 4x + 8 \\ 2x - 4x = 8 - 3 \\ - 2x = 5 \\ x = \frac{5}{-2} \\ \\ x = \frac{-5}{2}$

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