Question

10*5^(x-1)+5^(x+1)=7

Answer 1

$5 ^{x-1} * (10+5 ^{x+1-(x-1)} )=7$
$5 ^{x-1} * (10+5 ^{2} )=7$
$5 ^{x-1} = \frac{7}{35}$
$5 ^{x-1} = 5 ^{-1}$
x-1=-1
x=0