Question

a
Resolva a equacao
exponencial
a) 11x-5=1
)
bj gax 2 = 27 + 1​

Answer 1

Resposta:

$i){2}^{x} = 8 \\ {2}^{x} = {2}^{3} \\ x = 3$

$ii) {2}^{x - 1} = 16 \\ {2}^{x - 1} = {2}^{4} \\ x - 1 = 4 \\ x = 4 + 1 \\ x = 5$

$iii) {11}^{x - 5} = 1 \\ {11}^{x - 5} = {11}^{0} \\ x - 5 = 0 \\ x = 5$

$iv) {9}^{2x - 2} = {27}^{x + 1} \\ {3}^{2(2x - 2)} = {3}^{3(x + 1)} \\ 4x - 4 = 3x + 3 \\ 4x - 3x = 3 + 4 \\ x = 7$