SOLUTION: Rewrite the expression ln (a+b) + 4 ln (a-b) - 3 ln c as a single logarithm ln A. Then the function A= Please help? Thank You!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite the expression ln (a+b) + 4 ln (a-b) - 3 ln c as a single logarithm ln A. Then the function A= Please help? Thank You!      Log On


   

Question 248854: Rewrite the expression
ln (a+b) + 4 ln (a-b) - 3 ln c
as a single logarithm ln A. Then the function
A=
Please help? Thank You!
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the expression
ln (a+b) + 4 ln (a-b) - 3 ln c
as a single logarithm ln A.
.
Applying "log rules":
ln+%28a%2Bb%29+%2B+4+ln+%28a-b%29+-+3+ln%28c%29
ln+%28a%2Bb%29+%2B+ln+%28a-b%29%5E4+-+ln%28c%29%5E3
ln+%28%28a%2Bb%29%28a-b%29%5E4%29+-+ln%28c%29%5E3
ln+%28%28%28a%2Bb%29%28a-b%29%5E4%29%2Fc%5E3%29
.
So,
A = %28%28a%2Bb%29%28a-b%29%5E4%29%2Fc%5E3