Question

Sabendo que log²= 0,30, log³= 0,48 e log⁵= 0,70, CALCULE

A) Log 90
B) Log 1,5

Answer 1

Boa noite Jonatha

log(2) = 0.30
log(3) = 0.48
log(5) = 0.70

a) 

log(90) = log(9*10) = 2log(3) + log(10) = 2*0.48 + 1 = 1.96 

b)

log(1.5) = log(3/2) = log(3) - log(2) = 0.48 - 0.30 = 0.18 

Answer 2

a) log 90 = log 9.10 = log 9 + log 10 = log 3² + log 10 = 2.log 3 + log 10

2.log 3 + log 10 = 2.0,48 + 1 = 0,96 + 1 = 1,96

b) log 1,5 = log 15/10 = log 15 - log 10 = log 3.5 - log 10 = log 3 + log 5 - log 10

log 3 + log 5 - log 10 = 0,48 + 0,70 - 1 = 1,18 - 1 = 0,18

Espero ter ajudado.