Question

Determine os logaritimos:
a) log 12
b) log 60
c) log 150

Answer 1

a) $log12$

$log12 = log3*2^2= log3+2*log2\\0,47+2*0,30 = 0,47+0,60= 1,07$

b) $log60$

$log60 = log5*3* 2^2= log \frac{10}{2}*3*2^2 = log10-log2+log3+2*log2\\1-0,3+0,47+2*0,30=1-0,3+0,47+0,60 = 1,77$

c) $log150$

$log150 = log2*3*5^2= log2 + log3+2*(log10-log2) \\ 0,30+0,47+2*(1-0,30) = 0,30+0,47+1,40=2,17$