I am using numbers this time so you can convince yourself that the log law works.

LHS

= log (20/5)

= log 4

= 0.60206 (using calculator)

Now

RHS

= log 20 − log 5

= 1.30103 − 0.69897 (using calculator)

= 0.60206

= LHS

We have shown that the second logaritm law above works for our number example.