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

Compute log_(9) 27 + log_(8) 32

|(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

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, 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

|[(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 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)

Prove that log_3 2=log_9 4=log_27 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? (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)