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Evaluating logarithms worksheets Grade 11

Find the value of logarithms by asking which power gives the number.

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Free · Worked example · 51 problems · Answer key · US Letter

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How to do it

log base b of y is the power of b that gives y: log₂ 8 = 3 because 2³ = 8. log means base 10; ln means base e.

ln⁡e4=4\ln e^{4} = 4ln is log base e: e to what power gives e⁴?

Example problems

  1. log⁡5125=\log_{5} 125 =
  2. log⁡22=\log_{2} 2 =
  3. log⁡319=\log_{3} \dfrac{1}{9} =
  4. log⁡39=\log_{3} 9 =

Exponential and logarithmic functions

  1. Solving exponential equations with a common base
  2. Evaluating logarithms
  3. Solving logarithmic equations with the definition
  4. Logarithm rules with numbers
  5. Expanding and condensing logarithms
  6. Change of base formula
  7. Solving exponential equations with logarithms
  8. Solving logarithmic equations
  9. Exponential growth and decay