what is the constant in log2(x16y9) = Alogx +Blog2y such A=___ and the constant and B=__

You must apply the addition law of logarithm:



Then, 'transfer' any power to the front of the "log".

I won't do your work, here's an example:





OOOOOOOO

OOOOOOOO

By comparing the coefficients of log(3x) and log(y), you can find the A and B to be 2 and 3 respectively in my example.

Try with your question and post back your answer. :)