A power law relationship of the form $y = a \\cdot x^b$ is visualized by plotting $\\log_{10}(y)$ against $\\log_{10}(x)$. The plot displays a straight line with a slope of $1.5$ and an intercept of $2.0$ at $\\log_{10}(x) = 0$. What is the value of the exponent $b$, and what is the value of $a$?