Math, asked by saanjayved64, 9 months ago

if 25^(x+1)=125/5^(x) ; find x

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Answered by Tiger887

11

Answer:

${25}^{x + 1} = \frac{ {5}^{3} }{ {5}^{x} } \\ = {5}^{2x + 2} = {5}^{3 - x } \\ 2x + 2 = 3 - x \\ 3x = 3 - 2 \\ x = \frac{1}{3}$

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