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.Write as a single logarithm: log 7 + log 9
Answer: log 63
log a + log b = log ab
2.Write as a single logarithm: log 9 + log 4
Answer: log 36
log a + log b = log ab
3.Write as a single logarithm: log 2 + log 6
Answer: log 12
log a + log b = log ab
4.Evaluate log₂ .
Answer: -2
2-2 =
5.Write as a single logarithm: log 2 + log 5
Answer: log 10
log a + log b = log ab
6.Write as a single logarithm: log 12 − log 2
Answer: log 6
log a − log b = log (a ÷ b)
7.Evaluate log₃ 81.
Answer: 4
34 = 81
8.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
9.Write as a single logarithm: log 18 − log 6
Answer: log 3
log a − log b = log (a ÷ b)
10.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
11.Write 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
12.Write as a single logarithm: log 9 + log 6
Answer: log 54
log a + log b = log ab
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