Question 230495: Condense the equation: Log(x)-2Log(y)+3Log(z)
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! 
By the 3rd Law of Logarithms, you can write this as
Now, by the 1st and 2nd Law of Logarithms, when you ADD LOGARITHMS you multiply, and when you subtract, you divide:
If you need help with Logarithms, I have a LOT of FREE resources on my website!!Do a "Bing" or "Google" search for my last name "Rapalje". Near the top of the search list, find "Rapalje Homepage", and near the top of my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "College Algebra", and look for "Chapter 4" for "Logarithms". My own students ALL thought my explanations were a LOT easier than the traditional explanations.
Also, I have TWO videos (they are also free!) posted on my website on this topic. To see my videos (of me teaching my classes a few years ago!), from my Homepage, look for "Rapalje Videos in Living Color". Choose "College Algebra", and look for "Logarithms Part I and Logarithms Part II."
This is my COMPLETE explanation of Logarithms, both in printed form and video format, supported also on my "MATH IN LIVING COLOR" pages. Learning Logarithms was HARD for me!! I hope I've made it EASIER for YOU!!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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