SOLUTION: Im not sure how to write the expression as the logarithm of a single quantity... 3(lnx-2ln(x^3-1))+4ln5......I got 3lnx-6lnx^3-6ln+4ln5 I also need help expanding the expressio

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Im not sure how to write the expression as the logarithm of a single quantity... 3(lnx-2ln(x^3-1))+4ln5......I got 3lnx-6lnx^3-6ln+4ln5 I also need help expanding the expressio      Log On


   

Question 9403: Im not sure how to write the expression as the logarithm of a single quantity...
3(lnx-2ln(x^3-1))+4ln5......I got 3lnx-6lnx^3-6ln+4ln5
I also need help expanding the expression as the sum, difference and/or multiple of logarithms....
log 5y^3/x^2
Found 2 solutions by longjonsilver, rapaljer:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
3%28lnx-2ln%28x%5E3-1%29%29%2B4ln5 becomes
3%28lnx-ln%28x%5E3-1%29%5E2%29%2Bln5%5E4
3%28ln%28x%2F%28%28x%5E3-1%29%5E2%29%29%29%2Bln5%5E4
ln%28x%2F%28%28x%5E3-1%29%5E2%29%29%5E3%2Bln5%5E4
ln%28%285%5E4%2Ax%29%2F%28%28x%5E3-1%29%5E2%29%29%5E3
ln%28%285%5E12%2Ax%5E3%29%2F%28x%5E3-1%29%5E6%29

this is it as one log.

2. log 5y^3/x^2 becomes
log%285y%5E3%29-log%28x%5E2%29
log%285%29+%2B+log%28y%5E3%29-2log%28x%29
log%285%29+%2B+3log%28y%29-2log%28x%29

jon.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is what I got:

3%28lnx-2ln%28x%5E3-1%29%29%2B4ln5
3lnx+-+6ln%28x%5E3-1%29+%2B+4+ln5
lnx%5E3+-+ln%28x%5E3-1%29%5E6+%2B+ln5%5E4
lnx%5E3+%2B+ln5%5E4+-+ln%28x%5E3-1%29%5E6+
ln+%28%28x%5E3%2A5%5E4%29%2F%28x%5E3-1%29%5E6%29


log 5y^3/x^2
log 5y^3 - log x^2
log 5 + log y^3 - log x^2
log 5 + 3 log y - 2 log x

R^2 at SCC