Year 12 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 — 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 as a single logarithm: log 2 + log 9
Answer: log 18
log a + log b = log ab
2.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
3.Evaluate log₂ .
Answer: -2
2-2 =
4.Evaluate log₁₀ .
Answer: -2
10-2 =
5.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
6.Write 5-1 = in logarithm form.
Answer: log₅ = -1
ax = y means logₐ y = x.
7.Evaluate log₁₀ .
Answer: -1
10-1 =
8.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
9.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
10.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
11.Evaluate log₃ 81.
Answer: 4
34 = 81
12.Write 10-1 = in logarithm form.
Answer: log₁₀ = -1
ax = y means logₐ y = x.
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