Question

Calcule os logaritmos.
a) log(2) 256

b) log(7) 1/49

c) log (5/2) 125/8

d) log(3/2) 16/81​​

Answer 1

Resposta:

Explicação passo-a-passo:

a) log₂ 256  = x

2ˣ = 256

2ˣ = 2⁸

x = 8.

b) log₇ 1/49  = x

7ˣ = 1/49

7ˣ = 1/7²

7ˣ = 7⁻²

x = - 2.

c) log₅/₂ 125/8 = x

(5/2)ˣ = 125/8

(5/2)ˣ = 5³/2³

(5/2)ˣ = (5/2)³

x = 3.

d) log₃/₂) 16/81​​ = x

(3/2)ˣ = 16/81

(3/2)ˣ = 2⁴/3⁴

(3/2)ˣ = (2/3)⁴

(3/2)ˣ = (3/2)⁻⁴

x = - 4.