SOLUTION: Can someone please help me solve the following equation: ln2-ln(3x+2)=1 Thank you so much!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Can someone please help me solve the following equation: ln2-ln(3x+2)=1 Thank you so much!      Log On


   



Question 686674: Can someone please help me solve the following equation:
ln2-ln(3x+2)=1
Thank you so much!

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
ln%282%29-ln%283x%2B2%29=1 --> ln%282%2F%283x%2B2%29%29=1 --> ln%282%2F%283x%2B2%29%29=ln%28e%29 --> 2%2F%283x%2B2%29=e
2%2F%283x%2B2%29=e --> 2=%283x%2B2%29%2Ae --> 2=3ex%2B2e --> 2-2e=3ex --> highlight%28x=%282-2e%293e%29 (for an exact answer)
It can be approximated as x=-0.421414 (rounding)