Year 10 Logarithms and Exponential Equations Worksheet — Level 3 — 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 — 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 12 − log 2
Answer: log 6
log a − log b = log (a ÷ b)
2.Evaluate log₂ 1.
Answer: 0
20 = 1
3.Write as a single logarithm: log 18 − log 6
Answer: log 3
log a − log b = log (a ÷ b)
4.Evaluate log₁₀ .
Answer: -2
10-2 =
5.Write as a single logarithm: log 5 + log 7
Answer: log 35
log a + log b = log ab
6.Write as a single logarithm: log 7 + log 4
Answer: log 28
log a + log b = log ab
7.Evaluate log₅ 5.
Answer: 1
51 = 5
8.Write as a single logarithm: log 7 + log 3
Answer: log 21
log a + log b = log ab
9.Write as a single logarithm: log 2 + log 9
Answer: log 18
log a + log b = log ab
10.Write as a single logarithm: log 8 + log 4
Answer: log 32
log a + log b = log ab
11.Write as a single logarithm: log 4 + log 5
Answer: log 20
log a + log b = log ab
12.Write as a single logarithm: log 4 + log 6
Answer: log 24
log a + log b = log ab
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