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(log)4 18 is (a) a rational number (b...

`(log)_4 18` is (a) a rational number (b) an irrational number (c) a prime number (d) none of these

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`=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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