45+ GTU IMP MCQ Material For Mathematics Chapter Logarithm With GTU MCQ Quiz And Book Material One-Click Download Now

GTU IMP MCQ Material With  Mock Test Material For Mathematics Chapter Logarithm And GTU MCQ Quiz Solution Or Book Material One-Click Download Now 

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Applied Mathematics Chapter Logarithm (Q&A)

  1. The logarithm form of  `3^4` = 81 is ______________.

  Answer : `\log_3\81\=\4`

 2.  `\log_a\a` = ___________.

   Answer: 1

 3. `\log_3\27` + `\log_3\9` = _________.

   Answer: 5

 4. `\log_3`(`\log_3\27`) = _____________.

   Answer: 1

 5. `\log_5\625` + `\log_5``\sqrt{5}`= _________.

   Answer : `\frac{9}{2}`

 6. log 27 ÷` log 9 = ____________.

   Answer : `\frac{3}{2}`

 7. log m - log n = __________.

   Answer : log • `\frac{m}{n}`

 8. If  `a^x` = `a^y`  then `\frac{x}{y}` = ___________.

   Answer : `\frac{log b}{log a}` = `\frac{x}{y}`

 9. If  `\log_x` `\frac{9}{16}` = -2 then x = ____________.

   Answer : x = `\frac{4}{3}`

 10. `\log_2` 8 = _____________.

   Answer : 3

 11. `16^-log` 16  `\frac{9}{16}` = ________.

   Answer : `-\frac{2}{5}`

 12. `\log_3` 27 = ______.

   Answer : 3

 13. If   `\log_x`64 = 3  then x..

   Answer : x = 4

 14. If  `\log_a`N = 1 then N = _____________.

   Answer: a

 15. log 2 + log 3 + log 5 = __________.

   Answer: log 30

 16. log 1 × log 2 × log 3 × log 4 × log 5 = ____________.

   Answer : 0

 17. 4 log 2 - 3 log 3 = __________.

   Answer : log `\frac{16}{27}`

 18. If  `\log_27` m  = `\frac{1}{3}` then m  = __________.

   Answer : m = 3

 19. log ( `x^2` `y^3` ) =..

   Answer : 2 log x + 3 log y

 20. `\log_10` 0.0001 = _______.

   Answer: -4

 21. log 32 ÷ log 16 = ______.

   Answer : `\frac{5}{4}`

 22. `\log_4` (`\frac{1}{2}`)

   Answer : `\frac{-1}{2}`

 23. `\log_3` 27 + `\log_3` 9 =..

   Answer : 5

 24. `\log_3`(`\log_8\2`)

   Answer : -1

 25. log (`x^2` + 1) = log2x then x 

  Answer : x = 1

 26. (`\log_5` 4) (`\log_4` 3) (`\log_3` 2) (`\log_2` 2) =..

   Answer : 0

 27. log (tan θ) +  log (cot θ)  = ________.

   Answer : 0

 28. `1024^log` `2^m` =..

   Answer: `m^10`

 29. `\log_3`(`\log_2`x) = ____________.

   Answer : x = 8 

 30. If `\log_10` (x + 1) + `\log_10` (x + 1) = `\log_10` 3 then x

   Answer : x = 2

 31. The logarithm form of  `(-2)^3` = -8 is 

   Answer : 3 = `\log_-2`-8

 32. log 1 • log 2 • log 3 • log 4 • log 5 ••••••• log 10

   Answer : 0

 33. `\log_5` 125 = _______.

   Answer : 3

 34. If  `\log_7` x  = 1 then x  = __________.

   Answer: 7

 35. `\log_b`a  • `\log_c`b • `\log_a`c =..

   Answer : 1

 36. log (x + 3) + log (x - 3) =  log 27 

   Answer : x = 6

 37. `2^-log` `2^3`  = ________.

   Answer: `3^-1`

 38.  log (cos θ) +  log (sec θ)  = ________.

   Answer : 0 

 39. I `\log_32` x  = `\frac{2}{5}` then x  = __________.

   Answer: 4

 40. logx + log(2x) = log (18) then x =...

   Answer : 3

41. If  `\log_3`(`a^2`) = 8 then x = ...

   Answer: `\pm` 81

42. `\log_10` (`x^0`) = ________.

   Answer : 0

43. `\log_y` `x^3` × `\log_x``y^2` =..

   Answer:  6

44. log (625) ÷ log (125) = ________.

   Answer : - `\frac{4}{3}`

45. log `\frac{9}{14}` - log `\frac{15}{16}` + log `\frac{35}{24}` =..

   Answer : 0

46. `7^-log` `7^2` =..

   Answer :  `\frac{1}{2}`

47. `\log_3` (243) = ________.

   Answer: 5

48. If `\log_x`32 = 5 then x = _________.

   Answer: 2

49. log (81) ÷ log (27) = _________.

   Answer : `\frac{4}{3}`

50. `\log_2`(3)  • `\log_3`(4) • `\log_4`(5) •••••••  `\log_7`(8)=..

   Answer : 3



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