Year 10 Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Exponentials & LogarithmsYear 10 Logarithms and Exponential Equations Worksheet — Level 3 — 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 as a single logarithm: log 24 − log 3
Answer: log 8
log a − log b = log (a ÷ b)
2.Evaluate log₃ 9.
Answer: 2
32 = 9
3.Write as a single logarithm: log 64 − log 8
Answer: log 8
log a − log b = log (a ÷ b)
4.Write as a single logarithm: log 9 + log 5
Answer: log 45
log a + log b = log ab
5.Evaluate log₅ .
Answer: -2
5-2 =
6.Evaluate log₂ 128.
Answer: 7
27 = 128
7.Write as a single logarithm: log 5 + log 9
Answer: log 45
log a + log b = log ab
8.Evaluate log₃ 27.
Answer: 3
33 = 27
9.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
10.Solve: 2x + 3 = 4
Answer: x = −1
- 4 = 22
- x + 3 = 2
- x = −1
11.Solve: 102x + 4 = 10000
Answer: x = 0
- 10000 = 104
- 2x + 4 = 4
- x = 0
12.Write as a single logarithm: log 3 + log 7
Answer: log 21
log a + log b = log ab
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