The properties that allow us to combine logarithms which have different arguments, and , require that the coefficients of the logarithms be 1's. So we need to eliminate the (1/2) in front of the middle log. Fortunately there is another property, , which allows us to move a coefficient into the argument as the exponent. So we start by using this third property to move the 1/2:
Since an exponent of 1/2 means square root, I am going to rewrite the argument as a square root:
Now we can start combining. The first two logs have a "+" between them so we will use the first property to combine them:
The remaining logs have a "-" between them so we will use the second property to combine them:
And finally the fraction will reduce: