`((log)_9 27+(log)_8 32)` is `7/2` b. `(19)/6` c. `4` d. `7`

((log)_(5)5)((log)_(4)9)((log)_(3)2) is equal to 2 b.5 c.1 d.(3)/(2)

(log)_(2)(log)_(2)(log)_(3)(log)_(3)27^(3) is 0 b.1 c.2 d.3

|(log)_3 512(log)_4 3(log)_3 8(log)_4 9|xx|(log)_2 3(log)_8 3(log)_3 4(log)_3 4|= (a) 7 (b) 10 (c) 13 (d) 17

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

(A) 7 (B) 8 (C) 6 (D) 9

7^((log)_(7)x)+2x+9=0

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)

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

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8 a n d(log)_(1/2)4 is larger than (log)_(1/2)8. Identify the correct order: (log)_2 6 (log)_3 8> log_3 6>(log)_4 6 (log)_3 8>(log)_2 6> log_3 6>(log)_4 6 (log)_2 8<(log)_4 6

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)