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Indices and Logarithms II

Grade

11

Term

1

  1. Write down the characteristic of the logarithm for each number: (a) 725.1 (b) 0.0054

  2. Find the number corresponding to the logarithm (antilog) of 2ˉ.8798.

  3. Simplify: 1ˉ.9112+2ˉ.5431

  4. Simplify: 0.7512−1ˉ.8112

  5. Evaluate: 4ˉ.8322÷2

  6. Evaluate: 3ˉ.5112÷2

  7. Using logarithm tables, find the value of 43.85×0.05921.

  8. Using logarithm tables, find the value of 0.0875÷18.75.

  9. Using logarithm tables, find the value of (0.9812)3.

  10. Using logarithm tables, find the value of 30.7519​.

  11. Using logarithm tables, evaluate 0.98758.247×0.1973​​.

  12. The volume (V) of a sphere is given by V=34​πr3. Using logarithm tables, find the volume of a sphere with radius r=0.85 cm. (Take π=3.142).

  13. Using a scientific calculator, show the sequence of keys needed to find the value of 5300​.

  14. Find the value of x if lg x=21​(lg 12.25+2lg 0.4).

  15. A number is multiplied by 0.7852 and the result is divided by 0.004​. If the final answer is 10, find the initial number using logarithm tables.

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