Year 10 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 2 — 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 2 — 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 log₁₀ 1000.
Answer: 3
103 = 1000
2.Evaluate log₂ 8.
Answer: 3
23 = 8
3.Write as a single logarithm: log 4 + log 3
Answer: log 12
log a + log b = log ab
4.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
5.Evaluate log₅ 25.
Answer: 2
52 = 25
6.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
7.Write 30 = 1 in logarithm form.
Answer: log₃ 1 = 0
ax = y means logₐ y = x.
8.Write as a single logarithm: log 24 − log 3
Answer: log 8
log a − log b = log (a ÷ b)
9.Write as a single logarithm: log 18 − log 6
Answer: log 3
log a − log b = log (a ÷ b)
10.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
11.Write as a single logarithm: log 5 + log 8
Answer: log 40
log a + log b = log ab
12.Write as a single logarithm: log 20 − log 4
Answer: log 5
log a − log b = log (a ÷ b)
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