Question

Показательное уравнение

Answer 1

$25^{x}-5^{x} -2=0$

Сделаем замену :

$5^{x} =m,m>0\\\\m^{2}-m-2=0\\\\m_{1}=2\\\\m_{2}=-1<0-neyd\\\\5^{x}=2\\\\log_{5}5^{x}=log_{5}2\\\\xlog_{5}5=log_{5}2\\\\x=log_{5} 2\\\\Otvet:\boxed{log_{5}2}$