Question

решите уравнение (2,5)^2x-3=15 целых 5/8

Answer 1

$2,5^{2x-3}=15 frac{5}{8}$
$2,5^{2x-3}=frac{125}{8}$
$2,5^{2x}*2,5^{-3}=15,625$
$2,5^{2x}* frac{1}{15,625}=15,625$
$2,5^{2x}=15,625*15,625$
$((2,5)^{x})^2=(15,625)^2$
$2,5^{x}=15,625$
$2,5^x=2,5^3$
$x=3$