Question

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

Answer 1

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