Question

25*=125
Equação exponencial

Answer 1

25ˣ = 125

Vamos fatorar o 125 e 25

125 |25

25 |5

5 |5

1

5 . 5 . 5

5³

25 |5

5 |5

1

5 . 5

5²

$\mathtt{25^x = 125} \\ \mathtt{(5^{2})^x=5^3}$

Cortar base igual

$\mathtt{2x = 3} \\ \mathtt{x = \frac{3}{2}} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: \dfrac{3}{2}}}}$

Answer 2

${25}^{x} = 125 \\( { {5}^{2} })^{x} = {5}^{3} \\ {5}^{2x} = {5}^{3} \\ \\ 2x = 3 \\ x = \frac{3}{2}$


S = {3/2}