Question

Write log6 5 as a logarithm of base 4.

Answer 1

The answer is 1) (log4)5/(log4)6

We will use the change-of-base formula: $log_a(x)= \frac{log_b(x)}{log_b(a)}$

So, if we want to write log6 5 as a logarithm of base 4. in these example a = 6, x = 5, b = 4:
$log_6(5)= \frac{log_4(5)}{log_4(6)}$