Where f(x)=-x^2 and g(x)=-2^x, I am looking for the points of intersection.

So far, I have started this by setting -2^x=-x^2 to look for x. I worked it to xlog2(2)=2log2(x) and then x(1)=2log2(x) and then x/2=log2(x) and then x/2=ln(x)/ln(2) but now feel as if I am working in a circle... eventually, I reduced it to x=e^(xln(2)/2), however, this still has x on both sides.

Help, please?

Question

Where f(x)=-x^2 and g(x)=-2^x, I am looking for the points of intersection.

So far, I have started this by setting -2^x=-x^2 to look for x. I worked it to xlog2(2)=2log2(x) and then x(1)=2log2(x) and then x/2=log2(x) and then x/2=ln(x)/ln(2) but now feel as if I am working in a circle... eventually, I reduced it to x=e^(xln(2)/2), however, this still has x on both sides.

Help, please?