Question 1021101
<font face="Times New Roman" size="+2">


I'm going to assume that you mean:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ e^{x^2}\ =\ e^{15x\ -\ 56]


Even though your representation of the equation was ambiguous about 6 different ways.  Please take a few minutes to read all four pages of <a href="http://www.purplemath.com/modules/mathtext.htm">Formatting Math as Text</a> before attempting to post here in the future.


As to your problem:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ b^p\ =\ b^q] for all positive real numbers *[tex \Large b] and all real numbers *[tex \Large p] and *[tex \Large q] if and only if *[tex \LARGE p\ =\ q]


Hence,


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ =\ 15x\ -\ 56]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 15x\ +\ 56\ =\ 0]


Solve the factorable quadratic for the two rational roots which will comprise the solution set of your given equation.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

</font>