SOLUTION: Please help with expressing this as a single logarithm (and simplifying if possible): ln x^6-2 ln sqrt(x^5). Answer is x but unsure of steps to get there. Thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help with expressing this as a single logarithm (and simplifying if possible): ln x^6-2 ln sqrt(x^5). Answer is x but unsure of steps to get there. Thanks       Log On


   

Question 626894: Please help with expressing this as a single logarithm (and simplifying if possible): ln x^6-2 ln sqrt(x^5). Answer is x but unsure of steps to get there. Thanks
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help with expressing this as a single logarithm (and simplifying if possible): ln x^6-2 ln sqrt(x^5). Answer is x but unsure of steps to get there.
ln x^6-2 ln sqrt(x^5)
=ln[x^6/(x^5)^(1/2)^2]
=ln[x^6/x^5]
=ln(x)