Question

Se log2=0,30 e log3=47 encontre o valor de :
a) log 18 b) log 15 c) log 0,0001 d) log 2,5 e) 2000​

Answer 1

Correção log 3=0,47

a) log18=log2.3²=log2+2log3=

log18=0,30+2.0,47=0,30+0,94=

log18=1,24✔

b) calculo do log de 5:

log5=log(10/2)=log10-log2=1-0,30

log5=0,70

cálculo do log15:

log15=log3.5=log3+log5=0,47+0,70

log15=1,17✔

c) log0,0001=log10⁻⁴= -4log10=-4✔

d) log(2,5)=log(5/2)=log5-log2

log(2,5)=0,70-0,30=0,40✔

e) log2000=log2.10³=log2+3log10

log2000=0,30+3.1=0,30+3=3,30✔