# How to Evaluate Logarithms Using Change of Base Formula

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Evaluating logarithms using the change of base formula can make the entire process a lot easier. Evaluate logarithms using the change of base formula with help from an experienced math professional in this free video clip.

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## Video Transcript

Hi, I'm Drew Moyer and this is how to evaluate logarithms using the change of base formula. Using the change of base formula to evaluate logarithms can make evaluating the logarithm a lot easier, especially if you are only working with a standard scientific calculator. It is stated like this, log base A of B is equal to log base N of B/log base N of A. And it can be used to simplify evaluating logarithms. It can make very difficult logarithms very easy. Let's suppose I have a difficult logarithm like log base 6 of 1/3 and I only have a simple scientific calculator to evaluate this logarithm. I would use the change of base formula and I'm going to use not just any base but base 10 because this is the standard logarithm function on any scientific calculator. So I'm going to say log of base 10 of 1/3 is equal to log base 10 of 6. And then I would simply plug that into my calculator and I would find that it equals about negative 0.61315. So, I'm Drew Moyer, and this is how to evaluate logarithms using the change of base formula.

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