SOLUTION: Solve the equations by finding the exact solution ln e = ln 5 x − ln e

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the equations by finding the exact solution ln e = ln 5 x − ln e      Log On


   

Question 716011: Solve the equations by finding the exact solution ln e = ln 5 x − ln e
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Context suggests e is the base for the Natural logarithm. In this equation, ln(e) = 1.

ln e = ln 5 x − ln e
1=ln%285x%29-1
2=ln%285x%29
e%5E%285x%29=2

From that we could take logarithm of both sides.
5x%2Aln%28e%29=ln%282%29
5x=ln%282%29
highlight%28x=%281%2F5%29ln%282%29%29, which is easily computed using calculator.