Which one of the following denotes the greatest positive proper fraction? a.`(1/4)^((log)_2 6)` b. `(1/3)^((log)_3 5)` c.`3^((log)_3 2)` d. `8^((1/((log)_3 2)))`

Simplify: 2^((log)_3 5)-5^((log)_3 2)

Which of the following numbers are positive/negative? (log)_2 7 (ii) (log)_(0. 2)3 (iii) (log)_(1//3)(1/5) (iv) (log)_4 3 (v) (log)_2((log)_2 9)

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 numbers are positive? a. (log)_(log3 2)(1/2) b. (log)_2(2/3)^(-2//3) c. (log)_(10)(log)_(10)9 d. (log)_(10)s in 25^0

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

Which of the following are correct? a. (log)_3 19.(log)_(1//7)3.(log)_4 1/7>2 b. (log)_5(1//23) lies between -2 &-1 c. \ If m=4^((log)_4 7)a n d\ n=(1/9)^(-(log)_3 7)t h e n\ n=m^4 d. (log)_(sqrt(5))sin(pi/5)dot(log)_(sqrt(sin(pi/5)))5 simplifies to an irrational number

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

Which of the following numbers are non positive? (A) 5^(log_(11)7)-7(log_(11)5) (B) log_(3)(sqrt(7)-2) (C) log_(7)((1)/(2))^(-1//2) (D) log_(sqrt(2)-1) (sqrt(2)+1)/(sqrt(2)-1)

The value of (1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2 is 2 (b) 3 (c) 4 (d) 1

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)