Question

Calcule o valor de Log2 16 - log4 32

Answer 1

Resposta:

3/2

Explicação passo-a-passo:

log 2 (16) - log 4 (32) =

log 2 (2^4) - log 2^2 (2^5) =

4 - 1/2 . 5 . log 2 (2) =

4 - 5/2 . 1 =

4 - 5/2 =

8-5/2 =

3/2

Answer 2

Log₂ 16

2ˣ = 16

2ˣ = 2⁴

x = 4

Log₄ 32

4ˣ = 32

(2²)ˣ = 2⁵

2x = 5

x = 5/2

Log₂ 16 - Log₄ 32

= 4 - 5/2

= 8/2 - 5/2

= 3/2