Change-of-Base Formula :

Let a, b, and x be positive real numbers such that a ≠ 1 and b ≠ 1. Then can be converted to a different base as follows.

The logarithm functions are .

The functions are equal f(x) = g(x) and solve for x.

.

Changing Bases Using Common Logarithms:

Divide each side by .

      [ log(1) = 0 ]

Apply One - to - One property of logarithm : .

x = 1.

The value of x = 1.