Question

ПОМОГИТЕ РЕШИТЬ УРАВНЕНИЕ БЕЗ ГРАФИКА
СРОЧНОО

Answer 1

$\dfrac{3^{x+1}}{5^{x-2}}=125\\\\\\\dfrac{3^{x}\cdot 3}{5^{x}\cdot 5^{-2}}=125\\\\\\\dfrac{3^{x}}{5^{x}}\cdot 3\cdot 5^2=5^3\\\\\\\Big(\dfrac{3}{5}\Big)^{x}=\dfrac{5^3}{3\cdot 5^2}\\\\\\\Big(\dfrac{3}{5}\Big)^{x}=\dfrac{5}{3}\\\\\\\Big(\dfrac{3}{5}\Big)^{x}=\Big(\dfrac{3}{5}\Big)^{-1}\\\\\\x=-1$