Year 11 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Exponentials & LogarithmsYear 11 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.Write 5-2 = in logarithm form.
Answer: log₅ = -2
ax = y means logₐ y = x.
2.Evaluate log₅ 1.
Answer: 0
50 = 1
3.Evaluate log₂ 1.
Answer: 0
20 = 1
4.Evaluate log₅ .
Answer: -2
5-2 =
5.Write as a single logarithm: log 6 + log 7
Answer: log 42
log a + log b = log ab
6.Evaluate log₂ .
Answer: -2
2-2 =
7.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
8.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
9.Evaluate log₃ 9.
Answer: 2
32 = 9
10.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
11.Evaluate log₁₀ .
Answer: -1
10-1 =
12.Evaluate log₅ 625.
Answer: 4
54 = 625
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