Year 10 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Exponentials & LogarithmsYear 10 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 3 — 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.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
2.Evaluate log₁₀ 10.
Answer: 1
101 = 10
3.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
4.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
5.Evaluate log₃ 3.
Answer: 1
31 = 3
6.Evaluate log₂ 2.
Answer: 1
21 = 2
7.Evaluate log₂ 64.
Answer: 6
26 = 64
8.Evaluate log₃ 27.
Answer: 3
33 = 27
9.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
10.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
11.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
12.Evaluate log₂ 8.
Answer: 3
23 = 8
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