Question

o conjunto solucao da equacao 8* =1/32 e igual a

Answer 1

Olá,

32 | 2
16 | 2
08 | 2
04 | 2
02 | 2
01

32 = 2×2×2×2×2 = 2⁵

8 | 2
4 | 2
2 | 2
1

8 = 2×2×2 = 2³

Então:

8^x = 1/32
8^x = 32^-1
(2^3)^x = (2^5)^-1
2^(3x) = 2^(-5)

3x = -5
x = -5/3

Resposta:

S = {-5/3}