Question

(2/5((elevado a x-1=(125/8)

Answer 1

$( \frac{2}{5})^{x-1} = \frac{125}{8} \\ \\ \frac{ 2^{x-1}}{ 5^{x-1} } = \frac{125}{8} \\ \\ \frac{ 2^{x-1}}{ 5^{x-1} } = \frac{ 5^{3} }{ 2^{3}} \\ \\ \frac{ 2^{x-1}}{ 5^{x-1} } = \frac{ 2^{-3} }{ 5^{-3}} \\ \\ x-1 = -3 \\ \\ x = -3+1 \\ \\ x = -2$