Question

-25 elevado 2x+1 = 125 elevado -x+2

Answer 1

    $25^{2x+1} = 125^{x+2}$

$(5^2) ^{2x+1} =(5^3) ^{x+2}$

$5^{4x+2} = 5^{3x+6}$ <-- bases iguais, iguala os expoentes

4x + 2 = 3x + 6 --> 4x - 3x = 6 - 2--> x = 4

Substituindo pelo valor de x = 4:
$5^{4x+2} = 5^{3x+6} --\ \textgreater \ 5^{4.4+2} = 5^{3.4+6} --\ \textgreater \ 5^{18} = 5^{18}$

Answer 2

-25^2 x + 1 = 125^-x + 2
-5²^2 x + 1 = 5³^-x + 2
2(2 x + 1) = 3(x + 2)
4 x + 2 = 3 x + 6
4 x - 3 x = 6 - 2
x = 4