log base b of a times c this is equal to the logarithm base b of a plus logarithm base b of c now this comes straight out of the exponent properties that if you have two exponents with the same base you can add the exponents now let me make this a little bit clearer to you now if this part is a little confusing the important part for this example is is that you know how to apply this, but it's even better if you know the intuition so let's say that log, let's say that log base b of a times c is equal to x so this thing right over here evaluates to x