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 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
2.Evaluate log₅ 5.
Answer: 1
51 = 5
3.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
4.Write as a single logarithm: log 24 − log 6
Answer: log 4
log a − log b = log (a ÷ b)
5.Write as a single logarithm: log 30 − log 5
Answer: log 6
log a − log b = log (a ÷ b)
6.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
7.Write as a single logarithm: log 2 + log 9
Answer: log 18
log a + log b = log ab
8.Write 2-1 = in logarithm form.
Answer: log₂ = -1
ax = y means logₐ y = x.
9.Write 10-1 = in logarithm form.
Answer: log₁₀ = -1
ax = y means logₐ y = x.
10.Write as a single logarithm: log 9 + log 6
Answer: log 54
log a + log b = log ab
11.Write as a single logarithm: log 6 + log 8
Answer: log 48
log a + log b = log ab
12.Evaluate log₁₀ 10.
Answer: 1
101 = 10
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