Refer to Problem 25. Does the line tangent to the graph of f(x)=In x at x = e pass through the origin? Are there any other lines tangent to the graph of f that pass through the origin? Explain.
Problem 25
A student claims that the line tangent to the graph of g(x)=In x at x=3 passes through the origin (see the figure). Is he correct? Will the line tangent at x = 4 pass through the origin? Explain

8(x) 2 -1 23 45 6