SOLUTION: log (3x+2) - 3log (x) = 1

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: log (3x+2) - 3log (x) = 1      Log On


   

Question 651824: log (3x+2) - 3log (x) = 1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log (3x+2) - 3log (x) = 1
log[(3x+2)/x^3]=1
log 10=1
log[(3x+2)/x^3]=log10
(3x+2)/x^3=10
3x+2-10x^3=0
10x^3-3x-2=0
I don't know how to solve this equation algebraically
My computer graphics program gave the following answer:
x=0.752244
The other 2 roots are imaginary.