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.

For positive $n$, we have two growing sequences
$$1,2,4,8,\color{green}{16},32,64,128,256\cdots\\
0,4,8,12,\color{green}{16},20,24,28,32\cdots$$
This shows them that the "curves" cross each other at $16$, and it seems that the first grows faster.
Indeed, taking the ratios of successive terms
$$\frac{2^{n+1}}{2^n}=2>\frac{4(n+1)}{4n}=1+\frac1n.$$
