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Log 18 to the base 4 is (1) rational number (2) an irrational number (3) a prime number (4) not defined

Log 18 to the base 4 is 
(1) rational number
(2) an irrational number
(3) a prime number 
(4) not defined 

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Ananya
 
Log 18 to the base 4 is irrational number.
 
as
let it is a rational number
log4 18 = p/q
 
4^(p/q) = 18
 
2^(2p/q) = 18
 
it is never possible hence it is an irrational number

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