Question 840164
The line passes through two points (2, 16) and (x, 4^x). Find the slope of the line between these two points, and then find the equation of the line using point-slope form.


To find the equation of the tangent at (2, 16), let (x, 4^x) get arbitrarily close to (2, 16). Note that f'(x) = 4^x ln 4, and f'(2) = 16 ln 4.