50 questions on logarithms

1. Evaluate log base 2 of 8.
2. Solve for x: log base 5 of x = 3.
3. Simplify log base 4 of (16 / 2).
4. Calculate log base 3 of 1.
5. Solve for x: log base 7 of (49^x) = 2.
6. Evaluate log base 10 of 1000.
7. Simplify log base 2 of (2^3).
8. Solve for x: log base 6 of (36^x) = 2.
9. Evaluate log base 5 of (5^4).
10. Simplify log base 3 of 1/9.
11. Calculate log base 7 of 1.
12. Solve for x: log base 2 of x = -3.
13. Evaluate log base 8 of 64.
14. Simplify log base 5 of (5^2).
15. Solve for x: log base 9 of (81^x) = 1/2.
16. Evaluate log base 4 of (1/16).
17. Calculate log base 10 of 10000.
18. Simplify log base 2 of 1/8.
19. Solve for x: log base 5 of x = 1/3.
20. Evaluate log base 3 of (3^5).
21. Simplify log base 7 of (7^2).
22. Solve for x: log base 2 of (1/2) = x.
23. Evaluate log base 9 of (9^2).
24. Calculate log base 10 of 0.01.
25. Simplify log base 6 of 36.
26. Solve for x: log base 4 of (1/64) = x.
27. Evaluate log base 8 of (8^3).
28. Simplify log base 5 of (1/5).
29. Solve for x: log base 3 of (1/27) = x.
30. Evaluate log base 2 of (2^0).
31. Calculate log base 7 of 7.
32. Simplify log base 10 of 1.
33. Solve for x: log base 5 of (5^x) = 1.
34. Evaluate log base 2 of (1/2).
35. Simplify log base 3 of 27.
36. Solve for x: log base 10 of 100 = x.
37. Evaluate log base 4 of (4^2).
38. Calculate log base 5 of 1.
39. Simplify log base 2 of 4.
40. Solve for x: log base 6 of (1/216) = x.
41. Evaluate log base 7 of (7^4).
42. Simplify log base 3 of (1/3).
43. Solve for x: log base 2 of 16 = x.
44. Evaluate log base 5 of (5^3).
45. Calculate log base 10 of 1/1000.
46. Simplify log base 4 of 1.
47. Solve for x: log base 8 of (1/64) = x.
48. Evaluate log base 2 of (2^6).
49. Simplify log base 5 of 5.
50. Solve for x: log base 3 of (3^2) = x.

These questions cover a range of logarithmic properties, including evaluation, simplification, solving equations involving logarithms, and understanding logarithmic identities.