Year 11 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 — Practice Set 4 — 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 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
2.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
3.Write as a single logarithm: log 54 − log 6
Answer: log 9
log a − log b = log (a ÷ b)
4.Evaluate log₂ 64.
Answer: 6
26 = 64
5.Write as a single logarithm: log 2 + log 2
Answer: log 4
log a + log b = log ab
6.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
7.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
8.Write 30 = 1 in logarithm form.
Answer: log₃ 1 = 0
ax = y means logₐ y = x.
9.Evaluate log₅ 5.
Answer: 1
51 = 5
10.Evaluate log₃ 1.
Answer: 0
30 = 1
11.Write as a single logarithm: log 45 − log 9
Answer: log 5
log a − log b = log (a ÷ b)
12.Evaluate log₂ 32.
Answer: 5
25 = 32
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