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Logarithms I

Grade

10

Term

2

  1. Express 24=16 in logarithm form.

  2. Express log3​9=2 in index form.

  3. What is the value of loga​a?

  4. What is the value of loga​1 (where a=1)?

  5. Solve for x: log2​64=x.

  6. Solve for x: logx​81=4.

  7. Solve for x: log5​x=2.

  8. State the law of logarithms for the logarithm of a product, i.e., loga​(mn).

  9. State the law of logarithms for the logarithm of a quotient, i.e., loga​(nm​).

  10. Simplify and express as a single logarithm: log2​10+log2​5.

  11. Simplify and express as a single logarithm: log6​20−log6​4.

  12. Find the value of log4​32+log4​2.

  13. Find the value of log3​27−log3​3.

  14. Given loga​2 and loga​3, express loga​18 in terms of these logarithms.

  15. Solve for x: log10​8+log10​x−log10​2=log10​12.

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