SOLUTION: Explain the difference between a logarithm of a product and the product of logarithms and give examples of each. I know the logarithm of a product is the sum. I know the second

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Explain the difference between a logarithm of a product and the product of logarithms and give examples of each. I know the logarithm of a product is the sum. I know the second      Log On


   



Question 110358: Explain the difference between a logarithm of a product and the product of logarithms and give examples of each.
I know the logarithm of a product is the sum. I know the second part is multiplication of two logarithms. I just can't think of an example.
I think the logarithm of a product would be log(6*7)= log(6) + log(7)
For the product of two logarithms, multiplication is used. I am confused. Please help...

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For a product of logs, I can refer to something very simple
log%2810%29%2Alog%28100%29
1%2A2+=+2 this isn't very useful, however
whereas
log%2810%2A100%29+=+log%2810%29+%2B+log%28100%29
log%281000%29+=+1+%2B+2
1+%2B+2+=+3