So to continue, just like condensing logarithms, we must use the rules that logarithms follow to expand the equation.
For example: Log5(3*6)
we will only use the product rule for this one and return it to its base form which is Log5(3)+Log5(6)
of course we may also have much longer equations like Log(6^2 * 12 all over 15)
first, we must use both the product and quotient rules to expand it into
Log(6^2)+Log(12)-Log(15).
As you may notice here, we still have an exponent in the first logarithm. We must also expand that by using the power rule. This will give us our final answer of:
2Log(6)+Log(12)-Log(15)
To begin with, expanding logarithms isn't too difficult to understand once you have learnt to grasp the different rules you need to follow to expand these equations. Both Exponential and logarithmic equations can easily pose more trouble given the fact that you need to keep track of many more things and solve for a variable in particular. These however don't require as many examples to understand the methods used to solve them.