How do I simplify the following equation?

http://latex.codecogs.com/gif.latex?...=-log(x+e^x)+c, to be in the form y=? where c is the constanf of the integration I have just done (not needed for the simplification)

The answer is apparently http://latex.codecogs.com/gif.latex?...{\sqrt{x+e^x}} but I dont understand how they got to this point, especially the square root part....

Re: How do I simplify the following equation?

Re: How do I simplify the following equation?

Re: How do I simplify the following equation?

Generally speaking, to solve the equation f(y)= A for y, you apply **inverse** function of y to both sides: . The **definition** of "inverse function" is that and so that gives .

And one of the fundamental things you should have learned about exponentials and logarithms is that the logarithm, base a, is the inverse function to the exponential function, [tex]a^x[tex].

From , the first thing you should do is divide by 2 to get and then and then use the "laws of exponentials" and "laws of logarithms: .