Question

5^2x+1-5^2x-1=120
Помогите

Answer 1

$5^{2x+1}-5^{2x-1}=120$
$5^{2x}*5-5^{2x}* frac{1}{5} =120$
$5^{2x}*(5- frac{1}{5}) =120$
$5^{2x}* frac{25-1}{5}=120$
$5^{2x}* frac{24}{5}=120$
$5^{2x}*24* frac{1}{5}=120$
$5^{2x}* frac{1}{5}=120:24$
$5^{2x-1}=5$
$2x-1=1$
$2x=2$
$x=1$