SOLUTION: i'm needing some help on how to expand this logarithm and i'm not real sure where to began: loga[(x^2y^-3)^4/(xy)]

Question 81605: i'm needing some help on how to expand this logarithm and i'm not real sure where to began:

loga[(x^2y^-3)^4/(xy)]
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
loga[(x^2y^-3)^4/(xy)]
--------
Comment: All of this is log (base a) but I'm not repeating it.
----------
log[(x^8y^-12/(xy)]
= 8logx -12logy -log(xy)
=8logx -logy -logx - logy
= 7logx -2logy
===============
Cheers,
Stan H.
RELATED QUESTIONS
If logax=4 and logay=5, use log laws to find the exact values of: loga(x^2y)... (answered by math_helper)

Expand logbx^2y^3/z^4 I do not understand how to expand this. Could someone help... (answered by longjonsilver)

write a single logarithm....please explain how you got it-I've got to learn this loga... (answered by scott8148)

I'm needing some help on this. I submitted earlier, but I didn't get a confirmation it... (answered by Boreal)

Solve each of the equations. Be sure to check your solutions. {{{sqrt(x)+4=3}}} I am... (answered by checkley75)

I do not understand how to solve for m. I know that this should be y=mx+b but I cant... (answered by stanbon)

I am completely confused by this problem and am not sure how to solve or graph it. I am... (answered by stanbon)

Expand {{{log(ab/sqrt(c))}}} using the log rules my work:... (answered by jsmallt9)

Define a relation R on the set of integers by mRn if and only if 3 divides m - n. Prove (answered by jim_thompson5910)