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