Question

Решите Уравнение: 49^10x+8 = 0.07 * 10^20x+17

Answer 1

$49^{10x+8}=0,07*10^{20x+17}\\\\(7^2)^{10x+8}=7*10^{-2}*10^{20x+17}\\\\7^{20x+16}=7*10^{20x+15}\\\\7*7^{20x+15}=7*10^{20x+15}\\\\7^{20x+15}=10^{20x+15}\\\\( \frac{7}{10})^{20x+15}=1\\\\( \frac{7}{10})^{20x+15}=( \frac{7}{10})^0\\\\20x+15=0\\\\20x=-15\\\\x=- \frac{15}{20}\\\\x=-0,75$