Question

sendo log2=0,30, log3=0,48 e log5=0,70, quanto vale o log 60?

Answer 1

Log60= log(12×5) = log12+log5. Log12=log(4×3)= log 4 + log 3. Log4= log2^2= 2×log2. Assim log60=2×log2 + log 3 + log 5 =2×0,3 + 0,48 + 0,7= 1,78.

Answer 2

log 2 = 0,30
log 3 = 0,48
log 5 = 0,70

log 60 = ?

60 = 3 . 20

20= 2 . 10

log 60 = log 3 . 20

log 3 . 20 = log 3 + log 20

log 3 + log 20 = log 3 + log 2 . 10

log 3 + log 2 + log 10 =

0,48 + 0,30 + 1 = 

0,78 + 1 = 1,78