Question

URGENTE!!!

3) Desenvolva, aplicando as propriedades dos logaritmos

a) $Log_{5} (3.4)$ =
b) $Log _{4} (2.3.5)$ =
c) $Log _{5} \frac{2}{3}$ =

Answer 1

Resposta:

a)

[log 3 + log 4 ]/log 5

[log 3 + log 2² ]/log 5

[log 3 + 2*log 2 ]/log 5

[log 3 + 2*log 10/5]/log 5

[log 3 + 2*log 10 -2* log 5]/log 5

[log 3 + 2-  2*log 5]/log 5

b)

[log 2 +log 3 + log 5]/ log 4

[log 2 +log 3 + log 10/2]/ log 2²

[log 2 +log 3 + log 10 -log 2]/ 2log 2

[log 3 + 1 ]/ 2log 2

c)

log (2/3) / log 5

[log 2 - log 3] /log 5

[log 10/5 -log 3]/log 5

[log 10 - log 5 -log 3] /log 5

[1-log5-log 3]/log 5