By the end of this lesson, one should be acquainted with the natural and common logarithms. One should understand that exponential and logarithm functions are inverses of each other and can be used to solve for each other. Moreover, one should be familiar with the log rules including the change of base and inverse rule. Lastly, one will be able to condense and expand logarithms knowing to always check the number of factors and adding logs when they are above the division line and subtracting when they are below the division line.