Year 10 Logarithms and Exponential Equations Worksheet — Level 2 — 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 2 — 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.Evaluate log₅ 25.
Answer: 2
52 = 25
2.Write as a single logarithm: log 15 − log 5
Answer: log 3
log a − log b = log (a ÷ b)
3.Write as a single logarithm: log 16 − log 4
Answer: log 4
log a − log b = log (a ÷ b)
4.Write as a single logarithm: log 5 + log 4
Answer: log 20
log a + log b = log ab
5.Evaluate log₂ .
Answer: -2
2-2 =
6.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
7.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
8.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
9.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
10.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
11.Write as a single logarithm: log 7 + log 3
Answer: log 21
log a + log b = log ab
12.Write as a single logarithm: log 16 − log 8
Answer: log 2
log a − log b = log (a ÷ b)
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