The value of vmatrix _5729& _35\ _527& _925 vmatrix vmatrix _35& _275\ _59& _59 vmatrix is

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Accepted Answer

Correct answer: D. (d) Given (6 log_5 ⁡3 log_3 ⁡53 log_5 ⁡3 log_3 ⁡5 ) ( log_3 ⁡5 log_27 ⁡5 log_5 ⁡9 log_5 ⁡9 ) (6 log_5 ⁡3 log_3 ⁡53 log_5 ⁡3 log_3 ⁡5 ) ( log_3 ⁡5 13 log_3 ⁡52 log_5 ⁡32 log_5 ⁡3 ) Taking out log_5 ⁡3 and C_1 and log_3 ⁡5 from C_2 in first determinant, Similarly log_3 ⁡5 and log_5 ⁡3 from R_1 and R_2 respectively. =3 log_5 ⁡3 log_3 ⁡5 (2111 ) 2 log_3 ⁡5 log_5 ⁡3(11/311) =6 [2-1 ] (1- 13)=4 Hence the options log_3 ⁡5 log_5 ⁡81= ( log_3 ⁡5 ) (4 log_5 ⁡3 )=4

$The value of lo g_{5} 729 lo g_{5} 27 lo g_{3} 5 lo g_{9} 25 \times lo g_{3} 5 lo g_{5} 9 lo g_{27} 5 lo g_{5} 9 is$

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