Which of the following when simplified reduces to an integer? a.`(2log6)/(log12+log3)` b. `(log32)/(log4)` c.`((log)_5 15-(log)_5 4)/((log)_5 128)` d. `(log)_(1//4)(1/(16))^2`

Which of the following reduces to an integer? (1) (log32)/(log4) (2) (log_(5)128)/(log_(5)16-log_(5)4) (3) (2log6)/(log12+log3) (4) log_(4)8

Which of the following when simplified reduces to unity? (log)_(3/2)(log)_4(log)_(sqrt(3))81 (log)_2 6+(log)_2sqrt(2/3) -1/6(log)_(sqrt(3/2))((64)/(27)) (d) (log)_(7/2)(1+2-3-:6)

Which of the following, when simplified, reduces to unity? (a) (log)_(10)5dot(log)_(10)20+((log)_(10)2)^2 (b) (2log 2+ log 3)/(log 48-log 4) . (c) -(log)_5(log)_3sqrt(5sqrt(9)) (d) 1/6(log)_((sqrt(3))/2)((64)/(27))

log x=(log3)+(log4)+(log5)

Which of the following when simplified, reduces to unity (A) log _(10)5.log_(10)20+(log_(10)2)^(2) (B) (2log2+log3)/(log48-log4)(c)-log_(5)log_(3)sqrt(9^((1)/(5)))(D)(1)/(6)log_((sqrt(3))/(2))((64)/(27))

Which of the following when simplified, vanishes? 1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8) (log)_2(2/3)+(log)_4(9/4) -(log)_8(log)_4(log)_2 16 (log)_(10)cot1^0+ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0

(log_(2)3)(log_(1/3)5)(log_(4)6)<1

Which of the following is(are) non-negative ? a. log_3(log_(1/7) (1/6)), b. 5^(log_2 3- 7^log_3 2, c. (log_(10) 5)^2-(log_(10) 2)^2+log_(10) 4-1, d. (log_(0.01)2)^(1/3)

(log_(5)4)(log_(4)3)(log_(3)2)(log_(2)1) =

The value of 3^(log_4 5)+4^(log_5 3)-5^(log_4 3)-3^(log_5 4)=