Which number is larger?
3^25 or 2^100
Discussion
I'm gonna guess the second one?
Easy check is: 3^25 = (1.5^25)*2^25
So now the question becomes is 1.5^25 larger than 2^75? The answer is obviously no
Even easier check: 4^25 > 3^25
4^25 = 2^50
Yeah, this way is easier to compare as well,
2^100= 2^(4*25)= 16^25
and 3^25.
Therefore, 2^100 > 3^25 as 16^25 > 3^25.
I'm def not a math surgeon but I do find such things intriguing...
Mathematical Mind Bender
Last week I drove my ICE car 8 miles using 0.17 gallons of gasoline, which yields 47.058823529411 miles per gallon.
Yesterday I drove my EV car 56 miles using 11.9 kwh of electricity, which yields 4.7058823529411 miles per kwh.
🤯 😯 #[2]