Question

Решите уравнение (1,5)^x * (2/3)^2x-1 = 1

Answer 1

$1,5^{x}*(\frac{2}{3})^{2x-1}=1\\\\(\frac{3}{2})^{x}*(\frac{2}{3})^{2x-1} =1\\\\(\frac{2}{3})^{2x-1}=\frac{1}{(\frac{3}{2})^{x}}\\\\(\frac{2}{3})^{2x-1}=(\frac{2}{3})^{x}\\\\2x-1=x\\\\x=1$