Which one is bigger?
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Which one is bigger?
\[2003^{100} or 2002^{100}+2002^{99}\]
\[2003^{100} or 2002^{100}+2002^{99}\]
Re: Which one is bigger?
@confused, please show your logic behind your assumption...
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor
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Re: Which one is bigger?
I think 1st ta karon (2003)^100=(2002+1)^100=2002^100+100.2002^99+.....+1^100(binomial theorem use korlam) and u can see that 1st ta boro.
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Re: Which one is bigger?
Avik roy da tell me that am i right or not. Reply soon
Re: Which one is bigger?
yes, you are correct
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor
Re: Which one is bigger?
just take $2002^{99}$ in common...you don't need binomial theorem.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Re: Which one is bigger?
Tnx everyone.There is another problem.
Which one is bigger?
\[100^{^{300}} or 300!\]
Which one is bigger?
\[100^{^{300}} or 300!\]
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Re: Which one is bigger?
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কথা হইলো, এই জিনিসগুলার ক্ষেত্রে একটা ধান্দাবাজি করা যায়!
লগারিদম এর মান পরিবর্তনের হারের উপর ধারণা থাকলে মোটামুটি বলা যায়!
@মুন - তুমি তো মনে হয় ক্যালকুলেটর ছাড়া বলতে পারো, নাকি?
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