the laws of logs
In your next 109 workshop (workshop 5) you will see that an exponential equation (that describes an exponential graph) has been converted to a straight line equation by using logarithms. It is going to be useful for you to be able to do this conversion yourselves - and I will go through this in my next post - but before I do that I want to make sure you are ok with how to manipulate logarithms... Here are some of the laws of logarithms: 1. Log 10 (m x n) = Log 10 m + Log 10 n proof: Log 10 (100 x 100) = Log 10 (10000) = 4 which is the same as: Log 10 (100 x 100) = Log 10 100 + Log 10 100 = 2 + 2 = 4 2. Log 10 (m / n) = Log 10 m - Log 10 n proof: Log 10 (1000 / 100) = Log 10 10 = 1 ...