Find the smallest possible distance of points $ P$ and $ Q$ on a $ xy$-plane, if $ P$ lies on the line $ y = x$ and $ Q$ lies on the curve $ y = 2^x$.
Source: Final Round Grade 12 Pro 2
Tags: algebra unsolved, algebra
Find the smallest possible distance of points $ P$ and $ Q$ on a $ xy$-plane, if $ P$ lies on the line $ y = x$ and $ Q$ lies on the curve $ y = 2^x$.