SOLUTION: rewrite this equation as a single logarithm 1/3ln(x)-lny+3lnx This is the answer I got, not sure if its right, if not can you please help me understand why? ln square root of x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: rewrite this equation as a single logarithm 1/3ln(x)-lny+3lnx This is the answer I got, not sure if its right, if not can you please help me understand why? ln square root of x      Log On


   

Question 865378: rewrite this equation as a single logarithm 1/3ln(x)-lny+3lnx
This is the answer I got, not sure if its right, if not can you please help me understand why?
ln square root of x with the 3 in front of square root over y times (x to the power of 3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming the initial problem is %281%2F3%29%2Aln%28x%29-ln%28y%29%2B3%2Aln%28x%29, then the final answer is ln%28+%28root%283%2Cx%29%2Ax%5E3%29%2Fy+%29


You can rearrange the terms to get ln%28+%28x%5E3%2Aroot%283%2Cx%29%29%2Fy+%29 since that x%5E3 is NOT in the cube root.