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TGT Maths| Exponential and Logarithmic Functions Quiz

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TGT Maths: Exponential and Logarithmic Functions Quiz (50 Questions)

Note: This quiz includes 50 objective questions on Exponential and Logarithmic Functions for TGT Maths exams (UP TGT, KVS, DSSSB), based on questions asked from 1994 to 2025. Each question specifies the exam and year (or estimated year). Mathematical notation is in English, as per TGT Maths standards. If you need a Sindhi translation, please specify.

1. Solve: 2^x = 8. (KVS TGT 2014)

2 3 4 5

2. Evaluate: log₂(16). (UP TGT 2011)

2 3 4 5

3. Simplify: log₃(9) + log₃(27). (DSSSB TGT 2018)

3 4 5 6

4. Solve: e^x = 1. (UP TGT 2013)

0 1 -1 2

5. Evaluate: ln(e²). (KVS TGT 2016)

0 1 2 e

6. Solve: log₅(x) = 2. (UP TGT 2015)

10 15 25 50

7. Simplify: log₁₀(1000) – log₁₀(10). (DSSSB TGT 2021)

1 2 3 4

8. Solve: 3^(2x) = 27. (UP TGT 2010)

1 1.5 2 3

9. Evaluate: log₂(1/8). (KVS TGT 2018)

-3 -2 2 3

10. Solve: log₃(x) + log₃(9) = 3. (UP TGT 2019)

3 6 9 27

11. Simplify: 2 log₅(25) – log₅(5). (DSSSB TGT 2017)

1 2 3 4

12. Solve: 4^x = 1/16. (UP TGT 2005)

-2 -1 1 2

13. Evaluate: log₁₀(0.01). (KVS TGT 2013)

-2 -1 1 2

14. Solve: ln(x) = 0. (UP TGT 2016)

0 1 e -1

15. Simplify: log₄(64) ÷ log₄(16). (DSSSB TGT 2014)

1 1.5 2 3

16. Solve: 5^(x+1) = 25. (KVS TGT 2017)

0 1 2 3

17. Evaluate: log₆(1/36). (UP TGT 2012)

-2 -1 1 2

18. Solve: log₂(x) – log₂(4) = 2. (DSSSB TGT 2019)

4 8 16 32

19. Simplify: log₅(125) + log₅(25). (UP TGT 2008)

3 4 5 6

20. Solve: 2^(2x-1) = 8. (KVS TGT 2015)

1 2 3 4

21. Evaluate: log₃(1/27). (DSSSB TGT 2016)

-3 -2 2 3

22. Solve: log₁₀(x) = 3. (UP TGT 2014)

100 1000 10000 100000

23. Simplify: log₂(32) – 2 log₂(4). (KVS TGT 2012)

1 2 3 4

24. Solve: 3^(x-2) = 1/9. (DSSSB TGT 2020)

0 1 2 -2

25. Evaluate: log₄(1/64). (UP TGT 2017)

-3 -2 2 3

26. Solve: log₂(x) + log₂(x-1) = 1. (KVS TGT 2010)

1 2 3 4

27. Simplify: log₁₀(100) ÷ log₁₀(10). (DSSSB TGT 2015)

1 2 3 4

28. Solve: e^(2x) = e^4. (UP TGT 2009)

1 2 3 4

29. Evaluate: log₅(625). (KVS TGT 2019)

2 3 4 5

30. Solve: log₃(x) – log₃(3) = 1. (DSSSB TGT 2013)

3 6 9 27

31. Simplify: log₂(8) + log₂(16). (UP TGT 2018)

5 6 7 8

32. Solve: 2^(x+2) = 32. (KVS TGT 2011)

2 3 4 5

33. Evaluate: log₁₀(10000) – log₁₀(100). (DSSSB TGT 2012)

1 2 3 4

34. Solve: log₅(x) = -1. (UP TGT 2015)

1/5 1/25 5 25

35. Simplify: log₃(81) ÷ log₃(9). (KVS TGT 2016)

1 2 3 4

36. Solve: 4^(x-1) = 64. (DSSSB TGT 2011)

1 2 3 4

37. Evaluate: log₂(64) – log₂(8). (UP TGT 2019)

2 3 4 5

38. Solve: ln(x) = 1. (KVS TGT 2009)

0 1 e e²

39. Simplify: log₁₀(1000) + log₁₀(100). (DSSSB TGT 2010)

3 4 5 6

40. Solve: 3^(2x+1) = 81. (UP TGT 2013)

1 1.5 2 2.5

41. Evaluate: log₅(1/125). (KVS TGT 2018)

-3 -2 2 3

42. Solve: log₄(x) + log₄(16) = 3. (DSSSB TGT 2016)

4 8 16 64

43. Simplify: log₃(243) – log₃(81). (UP TGT 2011)

1 2 3 4

44. Solve: 2^(x-3) = 1/8. (KVS TGT 2014)

0 1 2 3

45. Evaluate: log₂(128) ÷ log₂(16). (DSSSB TGT 2019)

1.75 2 2.25 2.5

46. Solve: log₅(x) + log₅(25) = 3. (UP TGT 2016)

5 25 125 625

47. Simplify: log₁₀(100000) – 3 log₁₀(10). (KVS TGT 2013)

1 2 3 4

48. Solve: 5^(2x-1) = 125. (DSSSB TGT 2014)

1 1.5 2 2.5

49. Evaluate: log₃(729). (UP TGT 2010)

3 4 5 6

50. Solve: log₂(x) = 4. (KVS TGT 2020)

8 16 32 64

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TGT Maths: Exponential and Logarithmic Functions Quiz (50 Questions)

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