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There exists a natural number N which is...

There exists a natural number `N` which is 50 times its own logarithm to the base 10, then `N` is divisible by 5 (b) 7 (c) 9 (d) 11

A

5

B

7

C

9

D

11

Text Solution

Verified by Experts

The correct Answer is:
A
`N= 50 log_(10) N`
` rArr log_(10) N = N/50`
` rArr N = (10) ^(N//50)`
` rArr N^(1//N) = (10)^(1//50) = (10)^(2//100)= (100)^(1//100`
` :. N = 100`
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