Year 12 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 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 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
2.Write as a single logarithm: log 21 − log 7
Answer: log 3
log a − log b = log (a ÷ b)
3.Write 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
4.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
5.Write as a single logarithm: log 7 + log 7
Answer: log 49
log a + log b = log ab
6.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
7.Evaluate log₃ .
Answer: -2
3-2 =
8.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
9.Write as a single logarithm: log 4 + log 5
Answer: log 20
log a + log b = log ab
10.Write as a single logarithm: log 7 + log 2
Answer: log 14
log a + log b = log ab
11.Evaluate log₅ 25.
Answer: 2
52 = 25
12.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
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