Math Ladder

Exponential and logarithmic functions worksheets Grade 11

Exponential equations, evaluating logarithms, log rules, change of base, solving log equations, and growth and decay.

  1. Solving exponential equations with a common baseWrite both sides as powers of the same base and set the exponents equal.
  2. Evaluating logarithmsFind the value of logarithms by asking which power gives the number.
  3. Solving logarithmic equations with the definitionRewrite a logarithm in exponential form, then solve.
  4. Logarithm rules with numbersCombine logs with the product and quotient rules, then evaluate.
  5. Expanding and condensing logarithmsExpand logs with the product, quotient and power rules, or condense them into one log.
  6. Change of base formulaEvaluate logarithms by changing to a convenient base.
  7. Solving exponential equations with logarithmsIsolate the power, take the log of both sides, and give the exact answer.
  8. Solving logarithmic equationsCombine the logs, rewrite without logs, solve, and check each answer.
  9. Exponential growth and decayDoubling time, half-life and compound interest problems.

Unit packet

One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.

Unit test

Two problems from every topic. Pass it and move up to the next unit.