Question

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

Answer 1

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