SOLUTION: Simplify or solve for x. log base pi of e = x^2 I have the problem written out to look like pi^(x^2)=e I am not sure how to figure it out from there.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Simplify or solve for x. log base pi of e = x^2 I have the problem written out to look like pi^(x^2)=e I am not sure how to figure it out from there.      Log On


   



Question 293498: Simplify or solve for x.
log base pi of e = x^2
I have the problem written out to look like pi^(x^2)=e
I am not sure how to figure it out from there.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
log%28pi%2C%28e%29%29=x%5E2 Start with the given equation.


%22%22%2B-sqrt%28log%28pi%2C%28e%29%29%29=x Take the square root of both sides (don't forget about the plus/minus)


x=sqrt%28log%28pi%2C%28e%29%29%29 or x=-sqrt%28log%28pi%2C%28e%29%29%29 Break up the plus/minus to form two equations.


So the solutions are x=sqrt%28log%28pi%2C%28e%29%29%29 or x=-sqrt%28log%28pi%2C%28e%29%29%29