Write the square of the binomial as a polynomial: (-1 1/3p + 6q)^2
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First, you'll use the "Log power rule," which says that 
. In this case, you're going from the form on the right (with p in front of the log) to the form on the left (with p in the exponent position). So, the expression becomes:
Then, you'll use the "Log product rule," which says that
. Again, you're going from the form on the right to the form on the left (basically, from the sum of the logs, to a log of the products). So you get:
There's your expression simplified into a simple logarithm.
Then, you'll use the "Log product rule," which says that
There's your expression simplified into a simple logarithm.