Which is larger?

10001000 or 1001999

9 Answers

39
Pritish Chakraborty ·

10001000 = x
=>1000 log1000 = logx
=>1000 * 3 = logx
=>x = 103000

1001999 = y
=>1001 log999 = logy
=>1001 * 2.99 = logy
=>3002.56 = logy
=>y = 103002.56
x < y

39
Pritish Chakraborty ·

Ohhh lol I didn't see the section...graying out the solution :P

62
Lokesh Verma ·

how do you know that log 999 is 2.99?

Even if you do using the log tables, in the exam hall you will not be given those :P

39
Pritish Chakraborty ·

I used log tables to find that
Really? I guess log works for CBSE only...
Now that's a real worry.

21
eragon24 _Retired ·

bino will do the work......but bino is not in 9th- 10th syllab i guess[3]

62
Lokesh Verma ·

yup.. binomial is needed

I will have to think of something more basic..

My wrong to have posted it here!

1
fibonacci ·

no prob nishant sir
(1001)^{999}=(1000+1)^{999}=^{999}C_01000^{999}+^{998}C_11000^{998}+...+^{999}C_{999}
>1000^{999}+1000^{998}+...+1000^0=\frac{1000(1000^{1000}-1)}{999}>1000^{1000}

21
eragon24 _Retired ·

its good fibonaci tat u know bt in class 10

19
Debotosh.. ·

fibo looks great !!! cheers !!!

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