SOLUTION: Rewrite expression as a single logarithm: log(2x-6)-3log(x-3)

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Question 635297: Rewrite expression as a single logarithm:
log(2x-6)-3log(x-3)

Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite expression as a single logarithm:
log(2x-6)-3log(x-3)
----
= log(2x-6) - log(x-3)^3
---
= log[(2x-6)/(x-3)^3]
----
= log[(2(x-3))/(x-3)^3]
---
= log[2/(x-3)^2]
=====================
Cheers,
Stan H.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite expression as a single logarithm:
log(2x-6)-3log(x-3)
Use division and exponent logarithm rules.
=log[(2x-6)/(x-3)^3]