Check out some similar questions!

cgreene471 · Apr 22, 2009, 05:33 PM

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

Unknown008 · Apr 22, 2009, 07:07 PM

You must apply the addition law of logarithm:

$log_nab= log_na+log_nb$

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

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

$log3(x^2y^3) = Alog3x + Blogy$

$log3(x^2y^3) = log3x^2y^3$

OOOOOOOO $= log3x^2 + logy^3$

OOOOOOOO $= 2log3x + 3logy$

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. :)