SOLUTION: the question is: Express the given form as a single logarithm: 3(logx + logy - 2logz) i ended up with an answer of -6logxy/z but i somehow think that is wrong.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: the question is: Express the given form as a single logarithm: 3(logx + logy - 2logz) i ended up with an answer of -6logxy/z but i somehow think that is wrong.      Log On


   

Question 875446: the question is: Express the given form as a single logarithm: 3(logx + logy - 2logz)
i ended up with an answer of -6logxy/z but i somehow think that is wrong.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2A%28+log%28x%29+%2B+log%28y%29+-+2%2Alog%28z%29%29+
+3%2A%28+log%28x%2Ay%29+-+log%28z%5E2%29+%29+
+3%2A%28+log%28+%28x%2Ay%29%2Fz%5E2+%29%29+
+log%28%28+%28x%5E3+%2A+y%5E3%29%2Fz%5E6+%29%29+
-------------------------------
I'll try a rough check by saying:
+x+=+1000+
+y+=+100000+
+z+=+10+
--------------------
+3%2A%28+log%281000%29+%2B+log%28100000%29+-+2%2Alog%2810%29%29+
+3%2A%28+3+%2B+5+-+2+%29+
+3%2A6+=+18+
and
+log%28+%281000%5E3+%2A+100000%5E3%29%2F10%5E6+%29+
+log%28+10%5E9+%2A+10%5E15+%29%2F10%5E6+%29+
+log%28+10%5E18+%29+=+18+
--------------------------
OK