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 as a single logarithm: log 24 − log 8
Answer: log 3
log a − log b = log (a ÷ b)
2.Evaluate log₃ 81.
Answer: 4
34 = 81
3.Write as a single logarithm: log 5 + log 8
Answer: log 40
log a + log b = log ab
4.Write as a single logarithm: log 15 − log 5
Answer: log 3
log a − log b = log (a ÷ b)
5.Write 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
6.Write 3-1 = in logarithm form.
Answer: log₃ = -1
ax = y means logₐ y = x.
7.Evaluate log₂ .
Answer: -1
2-1 =
8.Write as a single logarithm: log 3 + log 2
Answer: log 6
log a + log b = log ab
9.Evaluate log₃ .
Answer: -1
3-1 =
10.Write as a single logarithm: log 5 + log 6
Answer: log 30
log a + log b = log ab
11.Write as a single logarithm: log 36 − log 4
Answer: log 9
log a − log b = log (a ÷ b)
12.Write as a single logarithm: log 8 + log 6
Answer: log 48
log a + log b = log ab
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