1. One math puzzle

Hi Members,
Can you write any integer with the help of three 2's and any algebraic or transcendental function used in mathematics ?

2. Re: One math puzzle

Hello, Vinod!

Can you write any integer with the help of three 2's
and any algebraic or transcendental function?

I can express any nonnegative integer . . .

$n \;=\;-\log_2\left[\log_2\left(\underbrace{\sqrt{\sqrt{\sqrt{ \cdots\sqrt{2}}}}}_{n\text{ radicals}} \right)\right]$