Year 12 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 12 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Exponentials & LogarithmsYear 12 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 log₅ 25.
Answer: 2
52 = 25
2.Evaluate log₃ 3.
Answer: 1
31 = 3
3.Evaluate log₂ 2.
Answer: 1
21 = 2
4.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
5.Evaluate log₂ 64.
Answer: 6
26 = 64
6.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
7.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
8.Evaluate log₃ 27.
Answer: 3
33 = 27
9.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
10.Evaluate log₃ 9.
Answer: 2
32 = 9
11.Write 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
12.Evaluate log₁₀ 100.
Answer: 2
102 = 100
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