Question

найти корень уравнения (1/3)^-2x+1 * (1/3)^-4x+5 = 1/27

Answer 1

$displaystylettbigg(frac{1}{3}bigg)^{-2x+1} cdot bigg(frac{1}{3}bigg)^{-4x+5}=frac{1}{27}\\\ bigg(frac{1}{3}bigg)^{-2x+1+(-4x+5)}= frac{1}{3^3}\\\ bigg(frac{1}{3}bigg)^{-6x+6}=bigg(frac{1}{3}bigg)^3 \\\ -6x+6=3\-6x=3-6\-6x=-3\x=0.5$