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(log)4 18 is...

`(log)_4 18` is

A

a rational number

B

an irrational number

C

a prime number

D

none of these

Text Solution

Verified by Experts

`=log_4 18`
`=log_4(9*2)=log_4 9+log_4 2`
`=log_(2^2)^(3^2)+log_(2^2)^2`
`=(2/2)log_2^3+1/2log_2^2`
`=log_2^3+1/2`
`=1+1/2=3/2`
This is rational.
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