SOLUTION: Hello, I've been really struggling with logarithms. Express as a single logarithm. 1/2 (log3 (x-5) - log3 x) Help please!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello, I've been really struggling with logarithms. Express as a single logarithm. 1/2 (log3 (x-5) - log3 x) Help please!      Log On


   



Question 817197: Hello, I've been really struggling with logarithms.
Express as a single logarithm.
1/2 (log3 (x-5) - log3 x)
Help please!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single logarithm.
1/2 (log3 (x-5) - log3 x)
-------------
Correct way to write the problem::
(1/2)log3(x-5) - log3(x)
----
= log3(x-5)^(1/2) - log3(x)
-----
= log3[(x-5)^(1/2)/x]
=====
OR
= log3[sqrt(x-5)/x]
=========================
Cheers,
Stan H.
=============