मूल्यांकन कीजिए- `|{:(log_(3)256,log_4 3),(lgo_3 8,log_4 9):}|`

Explanation

दिया गया है- `Delta= |{:(log_3 256"",log_4 3),(log_3 8"","log_4 9):}|`
`=log_3 256log_4 9 - log_3 8 log_4 3`
`=log_(3)2^(8)log_4 3^(2)-log_3 2^(3)log_4 3`
`=(8log_3 2)(log_4 3)-3(log_3 2)(log_4 3)`
`=16(log_3 2)(log_2 3)-(3log_3 2)((1)/(2)lgo_2 3)" "[because log_a n m=(1)/(n)log_a m]`
`=(16)/(2)(log_3 .2. log_2 3)-(3)/(2)(log_3 2. log_2 3)`
`=(16)/(2)xx1-(3)/(2)xx1," "[because log_3 2.log_2 3=1]`
`=8-(3)/(2)=(13)/(2)`.