What methods can I use to show that $2^{50} < 3^{33}$, without a calculator How would I show that $2^{50} < 3^{33}$, without a calculator, and what different methods are there of doing this?
Any help would be much appreciated. 
Thanks.
P.S sorry if the tag on this post is wrong. I wasn't sure what to put.

Note that
$$
3^{34}=(2^3+1)^{17}=2^{51}+17\cdot 2^{48}+C>(2+\frac{17}{4})\cdot 2^{50}>3\cdot 2^{50}
$$
