Question

.Usando apenas log⁡〖20=1,30〗, log⁡〖30=1,47〗 e log⁡〖60=1,79〗, calcule os logaritmos: a) log⁡4 + log⁡5 b)log⁡5 + log⁡6 c)log⁡1800 - log⁡30 d)log⁡180 - log⁡9

Answer 1

Resposta:

a) log(4) + log(5) = 1,30

b) log(5) + log(6) = 1,47

c) log(1800) - log(30) = 1,79

d) log(180) - log(9) = 1,30

Explicação passo a passo:

Propriedades:

log(a*b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

a) log(4) + log(5) = log(4*5) = log(20) = 1,30

b) log(5) + log(6) = log(5*6) = log(30) = 1,47

c) log(1800) - log(30) = log(1800/30) = log(60) = 1,79

d) log(180) - log(9) = log(180/9) = log(20) = 1,30