Question

Задание 4, 20 баллов

Answer 1

$5^{\frac{3x+9}{x}}-5^{\frac{x+9}{x}}=0,96\\\\5^{3+\frac{9}{x}}-5^{1+\frac{9}{x}}=0,96\\\\5^{\frac{9}{x}}(5^{3}-5)=0,96\\\\5^{\frac{9}{x}}*120=0,96\\\\5^{\frac{9}{x}}=\frac{1}{125}\\\\5^{\frac{9}{x}}=5^{-3}\\\\\frac{9}{x}=-3\\\\x=9:(-3)\\\\x=-3$