Question

Sabendo que log 2 = 0,30, log 3 = 0,48, log 7 = 0,85, log 11= 1,04, calcule log 450

Answer 1

Resposta:

Fatorando 450:

450 2

225  3

75     3

25     5

5       5

1

ou seja, 450: 2.3.3.5.5

log450 = log2+ 2log3+ 2log5 = 0,30+2.0,48+ 2.log5

logg10-log2 =log 5, assim, log5 =1-0,30= 0,70

log450 = 0,30+0,96+2.0,70= 0,30+0,96+1,40= 2,66