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Prove that number (log)2 7 is an irratio...

Prove that number `(log)_2 7` is an irrational number.

A

an integer

B

a rational number

C

an irrational number

D

a prime number

Text Solution

Verified by Experts

The correct Answer is:
C
Let `x=log_(2)7 rArr 2^(x)=7`
which is only possible for irrational number.
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