Answer:
2 is the correct option.
Step-by-step explanation:
We have the equation [tex]e^x=4x+1[/tex].
We will plot the graphs of the function [tex]e^x[/tex] and [tex]4x+1[/tex].
Then, the intersection points of both the graph will be the solution of the equation [tex]e^x=4x+1[/tex].
From the graphs, we see that,
The intersection points of the graphs are (0,1) and (2.337,10.347).
The solution of the equation is the value of 'x' co-ordinate where they intersect.
So, we get, x = 2 is the correct option.