Question

Calcule

a) log1/4 16
b) log4 256
c) log2 256 ​

Answer 1

Resposta:

Explicação passo-a-passo:

log de 16 na base 1/4

(1/4)^x=16

[(1/2^2)^x]=2^4

[(2^-2)^x]=2^4

2^-2x=2^4  [corta base 2]

-2x=4

x=4/-2

x=-2

log 256 na base 4

4^x=256

(2^2)^x=2^8

2^2x=2^8  [corta base 2]

2x=8

x=8/2

x=4

log 256 na base 2

2^x=256

2^x=2^8  [corta base 2]

x=8