Question

Решите уравнение:
$( frac{1}{2}) ^{x}$·$( frac{16}{27} ) ^{x}$=$( frac{3}{2})^{3}$

Answer 1

$(frac{1}{2})^{x}(frac{16}{27})^{x}=(frac{3}{2})^3\\(frac{16}{2cdot 27})^{x}=(frac{3}{2})^3\\(frac{2}{3})^{3x}=(frac{2}{3})^{-3}\\3x=-3\\x=-1$