Question

Usando a definição, calcule o valor dos seguintes logaritmos a)log/2 16 b)log/4 16 c)log/3 81 d)log/5 125 e)log 100000 f) log/8 64 g)log/2 32 h)log/6 216

Answer 1

a) log/2 16 16= 2^4
log/2 2^4
4log/2 2 log/2 2= 1
4x1= 4

b) log/4 16 16= 4^2
log/4 4^2
2log/4 4
2x1= 2

c) log/3 81 81= 3^4
4 log/3 3
4x1= 4

d)log/5 125 125= 5^3
3log/5 5
3x1= 3

e) log/10 100000 100000= 10^5
5log/10 10
5x1= 5

f) log/8 64 64= 8^2
2log/8 8
2x1= 2

g) log/2 32 32= 2^5
5log/2 2
5x1= 5

h) log/6 216 216= 6^3
3log/6 6
3x1= 3

Answer 2

Resposta:

a) log/2 16 16= 2^4

log/2 2^4

4log/2 2 log/2 2= 1

4x1= 4

b) log/4 16 16= 4^2

log/4 4^2

2log/4 4

2x1= 2

c) log/3 81 81= 3^4

4 log/3 3

4x1= 4

d)log/5 125 125= 5^3

3log/5 5

3x1= 3

e) log/10 100000 100000= 10^5

5log/10 10

5x1= 5

f) log/8 64 64= 8^2

2log/8 8

2x1= 2

g) log/2 32 32= 2^5

5log/2 2

5x1= 5

h) log/6 216 216= 6^3

3log/6 6

3x1= 3

Explicação passo-a-passo: