SOLUTION: write as a single logarithm with a coefficient of one 5ln(x)-3ln(2x)+2ln(6x)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: write as a single logarithm with a coefficient of one 5ln(x)-3ln(2x)+2ln(6x)      Log On


   

Question 819602: write as a single logarithm with a coefficient of one
5ln(x)-3ln(2x)+2ln(6x)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write as a single logarithm with a coefficient of one
5ln(x)-3ln(2x)+2ln(6x)
----------
= ln(x^5) - ln(2x)^3 + ln(6x)^2
-------
= ln(x^5) - ln(8x^3) + ln(36x^2)
-------
= ln[x^5*36x^2/(8x^3)]
-------
= ln[(36x^7)/(8x^3)]
-------
= ln[(9/2)x^4]
-------
Cheers,
Stan H.
============