Prove that lg(3) is irrational.
Rem: lg(m)=t implies 10^t=m
Suppose log(3) is rational. Then, for some integers x and y, log(3)=x/y. Here is what we get.
However, all powers of 3 are odd, and powers of 10 are even. Therefore, log(3) is irrational.
Posted by Math Man
on 2011-08-07 13:47:55