Question

Dados log 2 = a e log 3 =b, calcule:

a) log3 2 ( 3 é a base)

Answer 1

Se:

Log 2 = a
10^a = 2

Log 3 = b
10^b = 3

a) Log 3 2 = x

3^x = 2
(10^b)^(x) = 10^a
b(x) = a
x = a/b

Logo Log 3 2 = a/b