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For all positive integers n for which 3 please tell detailed method also!!

For all positive integers n for which


3 < 100^(1/n) <5


please tell detailed method also!!

Grade:10

3 Answers

TANAYRAJ SINGH CHOUHAN
65 Points
10 years ago

3<1001/n<5

3n<100<5n

So, 3n<100                                       and                                100<5n

i.e.n=1,2,3,4                                    and                                 n=3,4,5,6,7.......................................

Form both the values of n we got above we have 3&4 common value of n in both cases.

Hence n=[3,4]

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pankaj dave
18 Points
10 years ago

3<100^1/n<5

so 3^n,100,5^n

is true for n=3 and 4       P S Dave M.Sc BEd (maths)

advait danke
16 Points
10 years ago
thnxs

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