How do you use the formula logbc= logac/logab for logarithms?

The formula log b C= log a C/ log ab for logarithms can be used for simplifying equations or deriving equations from one to another. This is a common logarithmic expression that can be simplified to solve calculus equations under integral and differential applications, for example.

1/3=2/6
2/3=4/6
3/6 is between 2/6 and 4/6