log2x=p and log4y=q
We have a log to the base of 2.
We have a log to the base of 4.
We would like each to be of the same base.
I choose base of 2. You will understand why below.
log24=2 because 22=4
log2x=p and (1/2)log2y=q
log ab=log a+log b
Let's multiply both sides by (1/2)
Let's multiply both sides by 2...
Let's move the base of 2 over to the right side...