Year 12 Logarithms and Exponential Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 12 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Exponentials & LogarithmsYear 12 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 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
2.Evaluate log₃ 27.
Answer: 3
33 = 27
3.Write as a single logarithm: log 5 + log 2
Answer: log 10
log a + log b = log ab
4.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
5.Write as a single logarithm: log 7 + log 2
Answer: log 14
log a + log b = log ab
6.Write as a single logarithm: log 3 + log 4
Answer: log 12
log a + log b = log ab
7.Write as a single logarithm: log 3 + log 7
Answer: log 21
log a + log b = log ab
8.Write as a single logarithm: log 28 − log 7
Answer: log 4
log a − log b = log (a ÷ b)
9.Evaluate log₁₀ 1.
Answer: 0
100 = 1
10.Evaluate log₁₀ 10.
Answer: 1
101 = 10
11.Evaluate log₂ 64.
Answer: 6
26 = 64
12.Write as a single logarithm: log 2 + log 7
Answer: log 14
log a + log b = log ab
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