Year 12 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 3 — 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 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 as a single logarithm: log 24 − log 3
Answer: log 8
log a − log b = log (a ÷ b)
2.Write 5-1 = in logarithm form.
Answer: log₅ = -1
ax = y means logₐ y = x.
3.Write 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
4.Write as a single logarithm: log 10 − log 5
Answer: log 2
log a − log b = log (a ÷ b)
5.Write as a single logarithm: log 18 − log 6
Answer: log 3
log a − log b = log (a ÷ b)
6.Evaluate log₃ 1.
Answer: 0
30 = 1
7.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
8.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
9.Write as a single logarithm: log 2 + log 2
Answer: log 4
log a + log b = log ab
10.Write as a single logarithm: log 36 − log 4
Answer: log 9
log a − log b = log (a ÷ b)
11.Evaluate log₂ 64.
Answer: 6
26 = 64
12.Evaluate log₅ .
Answer: -2
5-2 =
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