Question

16*=32
Equação Exponencial

Answer 1

16ˣ = 32

Vamos fator 16 e 32

16 |2

8 |2

4 |2

2 |2

1

2 . 2 . 2 . 2

2⁴

32 |2

16 |2

8 |2

4 |2

2 |2

1

2 . 2 . 2 . 2 . 2

2⁵

$\mathtt{16^x = 32} \\ \mathtt{2^{(4)^x} = 2^5}$

Cortamos as base iguais :

$\mathtt{4x = 5} \\ \mathtt{x = \frac{5}{4}} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: \dfrac{5}{4}}}}$

Answer 2

${16}^{x} = 32 \\ ( { {2}^{4} })^{x} = {2}^{5} \\ {2}^{4x} = {2}^{5} \\ \\ 4x = 5 \\ x = \frac{5}{4}$


S = {5/4}