Exponential Functions and Logarithms MCQ Test: Exponential Functions and Logarithms MCQs - Practice Questions
1. In the equation 2^x = 8, what is the value of x?
2. What is the base of an exponential function?
3. If 2^(2x) = 16, what is the value of x?
4. What is the result of log₁₀(100) - log₁₀(5)?
5. Solve for x: 7^x = 49.
6. Evaluate 3 * ln(e^5).
7. If log₈(x) = 2, what is the value of x?
8. What is the result of 8 * log₂(64)?
9. Evaluate 2 * ln(e^4).
10. Solve for x: 2^x = 512.
11. If 4^(3p) = 64, what is the value of p?
12. If 5^(-2) = 1/x, what is the value of x?
13. If ln(0.25) = z, what is the value of e^z?
14. What is the inverse operation of exponentiation?
15. What is the result of 3 * log₁₀(1000)?
16. What is the result of 3^(-2)?
17. If ln(e^2) = m, what is the value of m?
18. If log₂(x) = 3, what is the value of x?
19. What is the solution to 4^(-1)?
20. What is the logarithmic form of 2^5 = 32?
21. If log₃(x) = 3/2, what is the value of x?
22. What is the logarithmic form of 2^6 = 64?
23. If log₄(x) = 3/2, what is the value of x?
24. What is the base of the natural logarithm (ln)?
25. What is the result of log₁₀(100) - log₁₀(10)?
26. If 2^(3y) = 16, what is the value of y?
27. If 10^(2y) = 100, what is the value of y?
28. What is the solution to 6^(-1)?
29. If log₄(x) = 2/3, what is the value of x?
30. What is the solution to 10^(-2)?
31. If ln(e^6) = y, what is the value of y?
32. Express log₃(27) as a whole number.
33. What is the solution to 7^(-1)?
34. If 5^(-1) = 1/x, what is the value of x?
35. Simplify the expression log₄(256).
36. If log₃(x) = 1/2, what is the value of x?
37. If ln(e) = 1, what is the value of e^2?
38. If 3^(2p) = 81, what is the value of p?
39. If log₄(x) = 2, what is the value of x?
40. What is the antilog of log₄(16)?
41. If 4^(2x) = 64, what is the value of x?
42. If ln(e^3) = m, what is the value of m?
43. If log₆(x) = 1, what is the value of x?
44. What is the antilog of log₂(256)?
45. Express log₆(36) as a whole number.
46. What is the logarithmic form of 5^3 = 125?
47. If ln(1) = 0, what is the value of e^0?
48. What is the result of 2 * log₁₀(100)?
49. If ln(e^5) = y, what is the value of y?
50. If 2^(4x) = 256, what is the value of x?