Find the value of c in the figure above, where the line l tangent to the graph of y = 5x at (0, 1) intersects the x -axis. Enter the exact answer. Solution dy/dx = 5^x*ln(5) dy/dx at x=0 is ln(5) Equation of tangent is y-1 = xln(5) y = 1 + x*ln(5) 0 = 1 + c*ln(5) c = -1/ln(5) = -0.621.