Question

ЗАДАНИЕ НА 100 БАЛЛОВ.
$9^{x+4} =0,12 * 5^{2x+9}$

Answer 1

$9^{x+4}=0,12cdot 5^{2x+9}\\3^{2x+8}=frac{12}{100}cdot 5^{2x+9}\\3^{2x+8}=frac{3}{25}cdot 5^{2x+9}\\frac{3^{2x+8}}{3}=frac{5^{2x+9}}{5^2}\\3^{2x+7}=5^{2x+7}; |:5^{2x+7}\\(frac{3}{5})^{2x+7}=1\\(frac{3}{5})^{2x+7}=(frac{3}{5})^0\\2x+7=0\\2x=-7\\x=-3,5$