SOLUTION: Hello, could you please tell me the value of m in the following equation, and how you got the answer? p.s the 4 is over the m. {{{160 = 20log (4/m)}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello, could you please tell me the value of m in the following equation, and how you got the answer? p.s the 4 is over the m. {{{160 = 20log (4/m)}}}       Log On


   

Question 31882: Hello, could you please tell me the value of m in the following equation, and how you got the answer? p.s the 4 is over the m.
160+=+20log+%284%2Fm%29
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
You can use the following rule of logarithms:
log%28x%2Fy%29=log%28x%29-log%28y%29
So your equation becomes:
160+=+20log+%284%2Fm%29
Divide by 20
+8+=log%284%2Fm%29
Apply the log rule
+8+=+log%284%29+-+log%28m%29
log%28m%29+=+log%284%29-8
+m+=+10%5E%28log%284%29-8%29

I hope this helps!
Get more answers at Online Math Answers.com!