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 27 − log 3
Answer: log 9
log a − log b = log (a ÷ b)
2.Write as a single logarithm: log 28 − log 7
Answer: log 4
log a − log b = log (a ÷ b)
3.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
4.Evaluate log₁₀ 1.
Answer: 0
100 = 1
5.Evaluate log₂ .
Answer: -2
2-2 =
6.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
7.Write as a single logarithm: log 5 + log 5
Answer: log 25
log a + log b = log ab
8.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
9.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
10.Evaluate log₃ 81.
Answer: 4
34 = 81
11.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
12.Evaluate log₃ 9.
Answer: 2
32 = 9
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