Start free
Back to the topic
Free printable worksheetlessoons.com

Exponents and Logarithms · Ages 16–17

Evaluating Logarithms Practice Sheet

Name: Date:

Designed for 11th grade math students. Rewrite each logarithm in exponential form, then evaluate the exact value without using a calculator.

  1. Evaluate log_2(16).

  2. Evaluate log_5(125).

  3. Evaluate log_10(1,000).

  4. Evaluate log_7(7).

  5. Evaluate log_4(1).

  6. Evaluate log_3(1/9).

  7. Evaluate log_16(4).

  8. Evaluate log_2(1/32).

More topics and worksheets at lessoons.com© 2026 Lessons · 1 / 2
Answer keylessoons.com

Evaluating Logarithms Practice Sheet

Answer key

  1. Evaluate log_2(16).

    4 (since 2^4 = 16)

  2. Evaluate log_5(125).

    3 (since 5^3 = 125)

  3. Evaluate log_10(1,000).

    3 (since 10^3 = 1,000)

  4. Evaluate log_7(7).

    1 (since 7^1 = 7)

  5. Evaluate log_4(1).

    0 (since 4^0 = 1)

  6. Evaluate log_3(1/9).

    -2 (since 3^(-2) = 1/9)

  7. Evaluate log_16(4).

    1/2 (since 16^(1/2) = sqrt(16) = 4)

  8. Evaluate log_2(1/32).

    -5 (since 2^(-5) = 1/32)