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.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
2.Write 30 = 1 in logarithm form.
Answer: log₃ 1 = 0
ax = y means logₐ y = x.
3.Write as a single logarithm: log 2 + log 8
Answer: log 16
log a + log b = log ab
4.Write as a single logarithm: log 8 − log 2
Answer: log 4
log a − log b = log (a ÷ b)
5.Write as a single logarithm: log 6 + log 8
Answer: log 48
log a + log b = log ab
6.Evaluate log₂ 32.
Answer: 5
25 = 32
7.Write 10-1 = in logarithm form.
Answer: log₁₀ = -1
ax = y means logₐ y = x.
8.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
9.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
10.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
11.Evaluate log₃ .
Answer: -1
3-1 =
12.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
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