, 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 but I dont understand how they got to this point, especially the square root part....
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: .