< 1 >
Change the base of a logarithm
The base of a logarithm can be changed with
Explanation
From the definition of the logarithm follows
The calculation for base b gives
so that
Example 1
You can see that log3 9 = 2, because
but you better calculate this as the logarithm of a power
Example 2
You can see that log3 5 = 1,.465, because