SOLUTION: {{{2log((x))=log((a))-log((b))+log((c))}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{2log((x))=log((a))-log((b))+log((c))}}}      Log On


   

Question 227646: 2log%28%28x%29%29=log%28%28a%29%29-log%28%28b%29%29%2Blog%28%28c%29%29
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
2log%28%28x%29%29=log%28%28a%29%29-log%28%28b%29%29%2Blog%28%28c%29%29

Step 1. We note that 2log%28%28x%29%29=log%28%28x%29%29%2Blog%28%28x%29%29=log%28%28x%5E2%29%29

Step 2. We note that log%28%28a%29%29%2Blog%28%28b%29%29%2Blog%28%28c%29%29=log%28%28abc%29%29

Step 3. Then, x%5E2=abc after taking the anti-logarithm to both sides of the given equation 2log%28%28x%29%29=log%28%28a%29%29%2Blog%28%28b%29%29%2Blog%28%28c%29%29.

Step 4. ANSWER: The equation associated with 2log%28%28x%29%29=log%28%28a%29%29%2Blog%28%28b%29%29%2Blog%28%28c%29%29 is x%5E2=abc

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV