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 30 = 1 in logarithm form.
Answer: log₃ 1 = 0
ax = y means logₐ y = x.
2.Evaluate log₃ 9.
Answer: 2
32 = 9
3.Write as a single logarithm: log 8 + log 5
Answer: log 40
log a + log b = log ab
4.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
5.Write as a single logarithm: log 64 − log 8
Answer: log 8
log a − log b = log (a ÷ b)
6.Write as a single logarithm: log 12 − log 2
Answer: log 6
log a − log b = log (a ÷ b)
7.Write 5-2 = in logarithm form.
Answer: log₅ = -2
ax = y means logₐ y = x.
8.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
9.Write 10-1 = in logarithm form.
Answer: log₁₀ = -1
ax = y means logₐ y = x.
10.Evaluate log₂ .
Answer: -2
2-2 =
11.Write as a single logarithm: log 5 + log 6
Answer: log 30
log a + log b = log ab
12.Evaluate log₅ 1.
Answer: 0
50 = 1
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