Year 10 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 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 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.Evaluate log₁₀ 1.
Answer: 0
100 = 1
2.Write as a single logarithm: log 54 − log 6
Answer: log 9
log a − log b = log (a ÷ b)
3.Write as a single logarithm: log 7 + log 7
Answer: log 49
log a + log b = log ab
4.Write as a single logarithm: log 6 + log 4
Answer: log 24
log a + log b = log ab
5.Write as a single logarithm: log 48 − log 6
Answer: log 8
log a − log b = log (a ÷ b)
6.Write 20 = 1 in logarithm form.
Answer: log₂ 1 = 0
ax = y means logₐ y = x.
7.Write as a single logarithm: log 2 + log 2
Answer: log 4
log a + log b = log ab
8.Evaluate log₃ 81.
Answer: 4
34 = 81
9.Write as a single logarithm: log 4 − log 2
Answer: log 2
log a − log b = log (a ÷ b)
10.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
11.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
12.Evaluate log₁₀ 10.
Answer: 1
101 = 10
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