Year 11 Logarithms and Exponential Equations Worksheet — Level 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 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.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
2.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
3.Evaluate log₅ 5.
Answer: 1
51 = 5
4.Write as a single logarithm: log 63 − log 7
Answer: log 9
log a − log b = log (a ÷ b)
5.Write as a single logarithm: log 48 − log 8
Answer: log 6
log a − log b = log (a ÷ b)
6.Write as a single logarithm: log 18 − log 2
Answer: log 9
log a − log b = log (a ÷ b)
7.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
8.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
9.Write as a single logarithm: log 2 + log 3
Answer: log 6
log a + log b = log ab
10.Write as a single logarithm: log 64 − log 8
Answer: log 8
log a − log b = log (a ÷ b)
11.Evaluate log₅ 25.
Answer: 2
52 = 25
12.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
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