How do I convince students in high school for which this equation: $2^x=4x$ have only one solution in integers that is $x=4$? I would like to convince my student in high school level using a simple
mathematical way  to solve this equation: $$2^x=4x$$ in $\mathbb{Z}$ which
have only one integer solution  that is $x=4$ .
My question here :How do I convince students in high school for which this equation: $$2^x=4x$$ have only one solution that is $x=4$?
Note : I do not want to use substitution to convince them and by numerical methods can't give us exactly $x=4$
EDIT: I edited the question as it is  very related to the precedent
Thank you for any help.

Hint:
plot the graph of $y=2^x$ and $y=4x$ and shows that the only other solution is between $0$ and $1$.
