SOLUTION: how do you condense this problem? log1/2 sqrt x-log1/2x^3 thank you!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how do you condense this problem? log1/2 sqrt x-log1/2x^3 thank you!      Log On


   



Question 714550: how do you condense this problem?
log1/2 sqrt x-log1/2x^3
thank you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do you condense this problem?
log(1/2 sqrt x) - log(1/2x^3)
-----
= log[(1/2)sqrt(x))/(1/2x^3)]
-----
= log[1/x^(5/2)]
-----
= log[x^(-5/2)]
----
= (-5/2)log(x)
=====================
Cheers,
Stan H.
================