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Solving logarithmic and exponential equations

This classroom material helps 12th-grade students practice solving logarithmic and exponential equations through question types such as equivalence checks, step validation, and solving for variables. It focuses on using logarithms, change of base, and structuring solutions.

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

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Questions

  1. Which equation is equivalent to 2^x = 7?
  2. Which of the following are valid steps to solve log(x) = 3?
  3. Solve for x: 5^x = 125.
  4. Arrange the steps to solve the equation 3^x = 20 for x.
  5. Match each equation to its equivalent logarithmic or exponential form.
  6. Fill in the blanks to complete the change of base formula: log_b(a) = _ / _.
  7. Select the correct value to complete the sentence: The solution to ln(x) = 2 is x = ___.
  8. Sort each equation into the correct category: Exponential or Logarithmic.
  9. Determine whether each statement about logarithms is true or false.
  10. What is the base of the common logarithm?

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