Year 11 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 3 — 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 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.Evaluate log₁₀ 10.
Answer: 1
101 = 10
2.Write as a single logarithm: log 8 + log 6
Answer: log 48
log a + log b = log ab
3.Write as a single logarithm: log 16 − log 8
Answer: log 2
log a − log b = log (a ÷ b)
4.Evaluate log₂ 2.
Answer: 1
21 = 2
5.Evaluate log₅ .
Answer: -2
5-2 =
6.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
7.Write as a single logarithm: log 4 + log 7
Answer: log 28
log a + log b = log ab
8.Write as a single logarithm: log 6 + log 2
Answer: log 12
log a + log b = log ab
9.Evaluate log₁₀ 1.
Answer: 0
100 = 1
10.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
11.Evaluate log₂ 32.
Answer: 5
25 = 32
12.Write 21 = 2 in logarithm form.
Answer: log₂ 2 = 1
ax = y means logₐ y = x.
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