SOLUTION: 3 = e 0.05x

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3 = e 0.05x       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 149960: 3 = e 0.05x
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
3=e%5E%280.05x%29 Start with the given equation.


ln%283%29=ln%28e%5E%280.05x%29%29 Take the natural log of both sides.


ln%283%29=%280.05x%29%2Aln%28e%29 Rewrite the right side using the identity ln%28x%5Ey%29=y%2Aln%28x%29%29


ln%283%29=%280.05x%29%2A%281%29 Take the natural log of "e" to get 1


ln%283%29=0.05x Multiply.


ln%283%29%2F0.05=x Divide both sides by 0.05.


So the solution is x=ln%283%29%2F0.05 which approximates to x=21.97