Verified answer

ok so the first thing you can do with this problem take the numbers in front of the logs (3) and (1/2) and make them powers at the end of the logs so your problem would look like this:

log4x^6 + log 4^1/2

of course anything raised to the 1/2 is actually the square root of that number so the square root of 4 is 2! this gives you log2 for the second half of the problem.

Now you will notice that there is a plus sign connecting the two parts, and with logs a plus sign of logs with the same base is the same as a single log with multiplication.

so you would use a single log and multiply 4x^6 by 2 giving you log8x^6. This is your final answer!

If the two halves had been connected by a minus sign, you would have divided them rather than multiplied them!! Hope that helped