SOLUTION: I don't even know how to start this problem, Write the expression in terms of the logarithms of a, b, and c. {{{ln((sqrt(ab^2))/c)}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I don't even know how to start this problem, Write the expression in terms of the logarithms of a, b, and c. {{{ln((sqrt(ab^2))/c)}}}      Log On


   

Question 487322: I don't even know how to start this problem, Write the expression in terms of the logarithms of a, b, and c.
ln%28%28sqrt%28ab%5E2%29%29%2Fc%29
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You need to use a few rules:
rule 1
+ln%28x%2Fy%29+=+ln%28x%29+-+ln%28y%29+
rule 2
+ln%28x%2Ay%29+=+ln%28x%29+%2B+ln%28y%29+
rule 3
+ln%28x%5Ey%29+=+y%2Aln%28x%29+
---------------------
ln%28%28sqrt%28ab%5E2%29%29%2Fc%29
Using rule 1:
ln%28%28sqrt%28ab%5E2%29%29%2Fc%29+=+ln%28sqrt%28ab%5E2%29%29+-+ln%28c%29+
Express the 1st term as the ln of a product
+ln%28a%5E%281%2F2%29%2Ab%29+-+ln%28c%29+
Using rule 2:
+ln%28a%5E%281%2F2%29%29+%2B+ln%28b%29+-+ln%28c%29+
Using rule 3:
+%281%2F2%29%2Aln%28a%29+%2B+ln%28b%29+-+ln%28c%29+ answer