SOLUTION: solve the equation for x. e^ax=Ce^bx, where a is not equal to b

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve the equation for x. e^ax=Ce^bx, where a is not equal to b      Log On


   

Question 394438: solve the equation for x.
e^ax=Ce^bx, where a is not equal to b
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
e^ax=Ce^bx

ln(e^ax)=ln(C)+ln(e^bx)

ax=ln(C)+bx

ax-bx=ln(C)

(a-b)x=ln(C)

x=ln(C)/(a-b)