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Logarithms test

This 12th-grade logarithms test helps students practice understanding properties, solving equations, and applying concepts to real-world contexts like growth, pH, and decibels. The questions include identifying equivalent expressions, solving for variables, and evaluating the truth of logarithmic statements.

By Edform · Mathematics · Grade 12 · Published Oct 15, 2026 · New

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Questions

  1. Which of the following is equivalent to log(1000)?
  2. If log(x) = 2, what is the value of x?
  3. Which of the following are true about logarithms?
  4. The logarithm of a negative number is undefined in the set of real numbers.
  5. What is the base of the natural logarithm?
  6. Calculate log₂(32).
  7. The pH of a solution is defined as -log[H+]. If [H+] = 1 x 10^-4 M, what is the pH?
  8. Which of the following are equivalent to log₁₀(100)?
  9. The decibel scale for sound intensity uses a logarithmic function.
  10. Solve for x: log₃(x) = 4.

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