Question

Dados log 2 = a e log 3 = b, determine:
a) log 6
d) log 1,5
b) log 24
e) log 16
c) log 300
f) log 2

Answer 1

a) log 6 = log(2.3)=log2+log3= a+b

d) log 1,5 =log(3/2)=log3-log2= a-b

b) log 24= log(2³.3)=3log2+log3= 3a+b

e) log 16 = log2⁴ =4.log2= 4a

c) log 300=log3.100=log3+log100= b+2

f) log 2 = a