Year 10 Logarithms and Exponential Equations Worksheet — Level 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 — 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 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
2.Evaluate log₂ 2.
Answer: 1
21 = 2
3.Evaluate log₃ 27.
Answer: 3
33 = 27
4.Evaluate log₁₀ 10.
Answer: 1
101 = 10
5.Evaluate log₅ 1.
Answer: 0
50 = 1
6.Write as a single logarithm: log 24 − log 3
Answer: log 8
log a − log b = log (a ÷ b)
7.Evaluate log₅ .
Answer: -2
5-2 =
8.Write as a single logarithm: log 3 + log 3
Answer: log 9
log a + log b = log ab
9.Write as a single logarithm: log 6 − log 2
Answer: log 3
log a − log b = log (a ÷ b)
10.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
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 3-1 = in logarithm form.
Answer: log₃ = -1
ax = y means logₐ y = x.
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