Hi Paawan,

Yes, $$2^x = x+1$$ has the left hand side definitely positive, so $$x$$ has to be non- negative as well. Right away $$0$$ and $$1$$ satisfy. Know that the curves will only intersect at two points (you don’t need to draw them to have this intuition).

Hope this helps, feel free to ask if you have any doubts

why is the left hand side definitely positive

Hi Paawan,

$$2^x$$ cannot ever be negative, a positive number raise to any real number power will always give a positive result.

Hope this helps, feel free to ask if you have any doubts