Question

Se f(x) = 2 . 3 ͯ , então quando vale f(2)? *

18
36
12
24

Dada a função g(x) = 5 ͯ – 2, determine o valor de x tal que g(x) = 3. *

5
1
3
6
​

Answer 1

Olá,

01)

$\tt \: f(x) = 2 \cdot {3}^{x }$

$\tt \: f(2) = 2 \cdot {3}^{2} \\ \\ \tt \: f(2) = 2 \cdot 9 \\ \\ \boxed{\tt \: f(2) = 18}$

02)

$\tt \: g(x) = {5}^{x} - 2 \\ \\ \tt \: g(x) = 3 \\ \\ \tt \: 3 = {5}^{x} - 2 \\ \\ \tt \: 3 + 2 = {5}^{x} \\ \\ \tt \: 5 = {5}^{x} \\ \\ \tt \: \cancel5 = { \cancel{5}}^{x} \\ \\ \boxed{\tt \: x = 1}$