Math, asked by Anonymous, 1 year ago

Which is Greater???

999^998 or 998^999

Answers

Answered by lshukla52
5

Answer:

Consider the expression:

998^999 > 999^998

-> Take logarithm on both sides

999*log(998) > 998*log(999)

-> Bring the numbers on same side and logarithms on other side

999/998 > log(999)/log(998)

-> log(a)/log(b)=log(a-b)

1.0001 > log(1)

1.0001 > 0 which is true, so 998^999 is greater than 999^998

No need to use calculator for this simple math!

Step-by-step explanation:



sunidhi75: OK I understood
sunidhi75: I am telling this 999 to the power 989 is greater
sunidhi75: I am telling you just a simple logic
sunidhi75: no need to do any sum to find out
sunidhi75: it's very easy
sunidhi75: we can do it mentally
sunidhi75: for example 3 is greater than 2 by 1 .so here 999 is greater than 998 by 1 .now 3 to the power 2 is greater than 2 to the power 3 same here 999 to the power998 is greater than 998 to the power 999
sunidhi75: are you getting it?
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