Question

Dado o log 2 = 0,30, log 3 = 0,48, encontre:
A- Log (12)
B- Log (20)
C- Log (30)
D- Log (48)

Answer 1

A) log(12) = log (2²x3) = log(2²)+log 3 = 2 log 2 +log 3 = 0,6+0,48 = 1,08
B) log(20) = log (2²x5) = log 2² + log 5 = 2log 2 + log(10/2) = 0,6+log10-log2 = 0,6+1-0,3 = 0,3
C)log(30) = log (2x3x10/2) = log 2 + log 3 + log 10 - log 2 = 0,48+1 = 1,48
D)log(48) = log (2²x2²x3) = 2log 2+2log 2+log 3 = 0,6+0,6+0,48 = 1,68

Answer 2

log 2 = 0,30
log 3 = 0,48
log 5 = 0,69
A)Log (12) = log 3.4 = log 3.2² = 2 log 2 . 3 = 2 log 2 + log3 = 2.(0,30) + 0,48 = 
= 0,60 + 0,48 = 1,08

B)Log(20) = log 2².5 = 2 log 2 . 5 = 2 log2 + log5 = 2.(0,30 ) + 0,69 =
0,60 + 0,69 = 1,29

C)Log(30) = log2.3.5 = log2 + log3 + log5 = 0,30 + 0,48 + 0,69 = 1,47

 D)Log(48) = log2^4 . 3 = 4 log2 . 3 = 4 log2 + log 3 = 4.(0,30) + 0,48 = 
= 1,2 + 0,48 = 1,68