SOLUTION: Evaluate the following expression: lne^4

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Evaluate the following expression: lne^4      Log On

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

   

Question 173436: Evaluate the following expression:
lne^4
Found 2 solutions by vleith, solver91311:
Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
ln(e^4) =
4 * ln(e) =
4 * 1 =
4

Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!
Rule 1: log%28b%2C%28x%5En%29%29=n%2Alog%28b%2C%28x%29%29, so ln%28e%5E4%29=4%2Aln%28e%29

Rule 2: log%28b%2C%28b%29%29=1. Since ln%28x%29 is the same thing as log%28e%2C%28x%29%29, ln%28e%29=1.

Putting it all together:

ln%28e%5E4%29=4%2Aln%28e%29=4%2A1=4