Year 13 Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 13 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 13 · Mathematics · Exponentials & LogarithmsYear 13 Logarithms and Exponential Equations Worksheet — Level 3 — 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.Evaluate log₂ .
Answer: -2
2-2 =
2.Evaluate log₁₀ 1.
Answer: 0
100 = 1
3.Evaluate log₁₀ .
Answer: -1
10-1 =
4.Evaluate log₂ 4.
Answer: 2
22 = 4
5.Evaluate log₃ .
Answer: -2
3-2 =
6.Write as a single logarithm: log 7 + log 8
Answer: log 56
log a + log b = log ab
7.Write as a single logarithm: log 2 + log 8
Answer: log 16
log a + log b = log ab
8.Solve: 22x + 2 = 16
Answer: x = 1
- 16 = 24
- 2x + 2 = 4
- x = 1
9.Evaluate log₅ 25.
Answer: 2
52 = 25
10.Evaluate log₃ 9.
Answer: 2
32 = 9
11.Write as a single logarithm: log 7 + log 4
Answer: log 28
log a + log b = log ab
12.Write as a single logarithm: log 4 + log 2
Answer: log 8
log a + log b = log ab
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