Year 11 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Exponentials & LogarithmsYear 11 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — Answers
logₐ y = x means ax = y. Log laws: log a + log b = log ab; log a − log b = log (a ÷ b); log aⁿ = n log a.
1.Evaluate log₂ 8.
Answer: 3
23 = 8
2.Evaluate log₅ 125.
Answer: 3
53 = 125
3.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
4.Evaluate log₅ 5.
Answer: 1
51 = 5
5.Evaluate log₃ 81.
Answer: 4
34 = 81
6.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
7.Evaluate log₅ 25.
Answer: 2
52 = 25
8.Evaluate log₂ 64.
Answer: 6
26 = 64
9.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
10.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
11.Evaluate log₂ 32.
Answer: 5
25 = 32
12.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
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