SOLUTION: Write the expression in condensed form. (1/2)log(a)x+3log(a)y-4log(a)x I know that the answer is log(a)((y^3)/(x^(7/2))) but please explain. Thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Write the expression in condensed form. (1/2)log(a)x+3log(a)y-4log(a)x I know that the answer is log(a)((y^3)/(x^(7/2))) but please explain. Thanks      Log On


   

Question 1000712: Write the expression in condensed form.
(1/2)log(a)x+3log(a)y-4log(a)x
I know that the answer is log(a)((y^3)/(x^(7/2))) but please explain.
Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(1/2)log(a)x+3log(a)y-4log(a)x
------
loga(sqrt(x) + loga(y^3) - loga(x^4)
-----
-------
loga[x^(1/2)*y^3/x^4]
----
= loga[y^3/x^(7/2)]
---------
Cheers,
Stan H.
---------