You can put this solution on YOUR website! Taking an expression of multiple logarithms as a single logarithm requires that we know the properties of logarithms:
The first two are used to combine two logarithms into one. The first one is use when there is a "+" between the two logs. The second one is used when there is a "-" between the two logs. The first two properties require that the two logarithms have coefficients of 1 in front of them. The third property is used to move other coefficients into the argument of the logarithm. Let's see how this works on your expression:
We'll start by combining the two logarithms in the parentheses using the second property:
or
Before we combine the last two logarithms we need to have coefficients of 1. So that 7 needs to go. This is where the thrid property comes in handy:
or
Now we can combine the last two logarithms (with the first property):
which simplifies to
(