Question

4. Calcule o valor de x.
a) log2 = 7
b) log 27 = 3
c) log6 216 =
d) log5 125 =
e) log3 81 =

Answer 1

Resposta:

Explicação passo-a-passo:

a) log₂ 7 =  x

2ˣ = 7

log 2ˣ = log 7

x.log 2 = log 7

x = log 7/log 2

x = 0,845/0,301

x = 2,8.

b) log 27 3 =  x

27ˣ = 3

(3³)ˣ = 3

3³ˣ = 3

3x = 1

x = 1/3.

c) log6 216 =  x

6ˣ = 216

6ˣ = 6³

x = 3.

d) log5 125 =  x

5ˣ = 125

5ˣ = 5³

x = 3.

e) log3 81 = x

3ˣ = 81

3ˣ = 3⁴

x = 4.