SOLUTION: ln(x+2)-ln(x-1)=1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: ln(x+2)-ln(x-1)=1      Log On


   

Question 557691: ln(x+2)-ln(x-1)=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
ln(x+2)-ln(x-1)=1
ln[x+2)/(x-1)]=1
convert to exponential form: base(e) raised to log of number(1)=number([x+2)/(x-1)])
e^1=[x+2)/(x-1)]=e
e(x-1)=x+2
ex-e=x+2
ex-x=e+2
x(e-1)=e+2
x=(e+2)/(e-1)
e≈2.71828..