Year 10 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 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.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
2.Write as a single logarithm: log 36 − log 9
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 log₅ 1.
Answer: 0
50 = 1
5.Write as a single logarithm: log 16 − log 2
Answer: log 8
log a − log b = log (a ÷ b)
6.Write as a single logarithm: log 24 − log 3
Answer: log 8
log a − log b = log (a ÷ b)
7.Write as a single logarithm: log 6 − log 3
Answer: log 2
log a − log b = log (a ÷ b)
8.Write as a single logarithm: log 4 + log 7
Answer: log 28
log a + log b = log ab
9.Write 2-2 = in logarithm form.
Answer: log₂ = -2
ax = y means logₐ y = x.
10.Evaluate log₃ 27.
Answer: 3
33 = 27
11.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
12.Write as a single logarithm: log 4 + log 9
Answer: log 36
log a + log b = log ab
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