Which is bigger 2^999 or 999^2
Note: solve without calculating it...
Log function gives us an idea of how many zeros a number has if Log base 10 is used. Log(2^999) = 999×Log 2 = 999×0.3010 ≈ 1000×0.3010 ≈ 301 Log(999^2) = 2×Log 999 ≈ 2×Log 1000 ≈ 2×3 ≈ 6 Therefore as Log(2^999) > Log(999^2) => 2^999 > 999^2
Which number is greater - (99^999 + 1)/(99^1000 + 1) OR (99^1000 +1)/(99^1001 + 1)
Note: Answer without calculation...
There are 2 bags filled with 25 pounds of potatoes each. The bag on the left is filled with small potatoes, while the bag on the right is filled with large potatoes. Which bag is bigger?
