Question

решите уравнение
($\frac{25}{16}$)⁷ˣ⁺²=($\frac{5}{4}$)²ˣ⁺⁴

Answer 1

${ (\frac{25}{16} )}^{7x + 2} = {( \frac{5}{4}) }^{2x + 4} \\ { (\frac{5}{4} )}^{14x + 4} = {( \frac{5}{4}) }^{2x + 4} \\ 14x + 4 = 2x + 4 \\ 14x - 2x = 4 - 4 \\ x = 0$