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 2-2 = in logarithm form.
Answer: log₂ = -2
ax = y means logₐ y = x.
2.Evaluate log₃ 3.
Answer: 1
31 = 3
3.Write as a single logarithm: log 36 − log 9
Answer: log 4
log a − log b = log (a ÷ b)
4.Evaluate log₁₀ 1.
Answer: 0
100 = 1
5.Write as a single logarithm: log 72 − log 9
Answer: log 8
log a − log b = log (a ÷ b)
6.Evaluate log₅ 125.
Answer: 3
53 = 125
7.Evaluate log₁₀ 10.
Answer: 1
101 = 10
8.Write 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
9.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
10.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
11.Evaluate log₃ 27.
Answer: 3
33 = 27
12.Evaluate log₃ .
Answer: -2
3-2 =
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