You can put this solution on YOUR website! It would help greatly if you include the instructions with the problem. Tutors are not often willing to guess what a problem is and risk wasting their time providing a solution to what may even be the actual problem.
I am guessing that the problem is to rewrite
as a single logarithm. If so, then somehow we need to combine the three logarithms into one. For this we often use the properties of logarithms:
These properties can be used to combine two logarithms into one as long as the bases of the logarithms are the same and the coefficients of the logarithms are 1's.
And what if the coefficient is not a 1, like your first logarithm? Fortunatley there is another property of logarithms that comes to the rescue, , which allow us to move a coefficient into the argument as an exponent.
Now let's see how this works on your expression. We'll start by using the third property to move the coefficients of the first and third logarithms into their arguments as exponents:
Since an exponent of 1/2 means square root, the argument of the first logarithm becomes:
Next we'll use the first property on the first two logarithms (because of the "+" between them):
or
Now we'll use the second property (because of the "-" in between) to combine the remaining logarithms.
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