General Mathematics Pre-Finals Examination

What is the value of log₁₀ 10000?

• A. 2

• B. 3

• C. 4

• D. 10

What is the inverse of the exponential function f(x) = 2ˣ?

• log₂ x

• ln x

• eˣ

• 1/x

Simplify: log₅ (3125)

• 1

• 2

• 3

• 5

Which property is used in log(a/b) = log a - log b?

• A. Quotient Rule

• B. Power Rule

• C. Product Rule

• D. Subtraction Rule

What is the solution to 2ˣ = 256?

• 2

• 3

• 4

• 8

Which of the following is an exponential function?

• y = x²

• y = 2ˣ

• y = log x

• y = x + 2

If f(x) = 3ˣ, find f(4).

• A. 6

• B. 81

• C. 9

• D. 12

What is the base of the natural logarithm?

• 10

• 2

• 3

• e

What is the domain of f(x) = log x?

• x > 0

• x < 0

• All real numbers

• x ≠ 0

Solve for x: log₂ x = 5

• 10

• 25

• 32

• 64