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 as a single logarithm: log 8 + log 4
Answer: log 32
log a + log b = log ab
2.Write as a single logarithm: log 49 − log 7
Answer: log 7
log a − log b = log (a ÷ b)
3.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
4.Evaluate log₅ 625.
Answer: 4
54 = 625
5.Evaluate log₃ 9.
Answer: 2
32 = 9
6.Write as a single logarithm: log 9 − log 3
Answer: log 3
log a − log b = log (a ÷ b)
7.Evaluate log₂ 1.
Answer: 0
20 = 1
8.Write 2-1 = in logarithm form.
Answer: log₂ = -1
ax = y means logₐ y = x.
9.Evaluate log₅ .
Answer: -2
5-2 =
10.Write as a single logarithm: log 9 + log 9
Answer: log 81
log a + log b = log ab
11.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
12.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
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