Year 11 Logarithms and Exponential Equations Worksheet — Level 1 — 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 1 — 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 125.
Answer: 3
53 = 125
2.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
3.Evaluate log₂ 128.
Answer: 7
27 = 128
4.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
5.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
6.Evaluate log₃ 81.
Answer: 4
34 = 81
7.Evaluate log₅ 5.
Answer: 1
51 = 5
8.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
9.Evaluate log₃ 27.
Answer: 3
33 = 27
10.Evaluate log₅ 25.
Answer: 2
52 = 25
11.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
12.Evaluate log₃ 9.
Answer: 2
32 = 9
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