If 2^n n

Can I substitute n for 2^n in the equation?
2*2^n n+ 1

Question

If 2^n > n

Can I substitute n for 2^n in the equation?
2*2^n > n+ 1

shubhamsrg · Answer

yes I guess

darkprince14 · Answer

thanks... but what proof should I use to support it?

shubhamsrg · Answer

2^n > n

so 2^(n+1) > n+1
2. 2^n > n+1

if you'll substitute n for 2^n,
2n > n+1
or
n>1

hmm, I dont know what am doing :P
sorry, perhaps i am treating the question wrong

darkprince14 · Answer

thanks for your response to my question @shubhamsrg  :)
It enlightened me.

Actually I stopped my computation at 2n>n+1 because I think it could be proven by words since these two are consecutive integers, am I right?

Anyway, thanks again!

shubhamsrg · Answer

2n and n+1 consecutive integers? of course not :|

darkprince14 · Answer

oh, is that so but  2n IS greater than n+1... I mean they'll be consecutive integers if n=1

Sorry for that >_<

shubhamsrg · Answer

hmm,
well glad if I could help where am not too sure if I could? :P

darkprince14 · Answer

thanks again. It really helped me:) mata ne:)

shubhamsrg · Answer

(Y)