Year 11 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 4 — 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 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.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
2.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
3.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
4.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
5.Evaluate log₂ 128.
Answer: 7
27 = 128
6.Evaluate log₅ 625.
Answer: 4
54 = 625
7.Evaluate log₁₀ 100.
Answer: 2
102 = 100
8.Write 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
9.Evaluate log₂ 32.
Answer: 5
25 = 32
10.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
11.Evaluate log₃ 81.
Answer: 4
34 = 81
12.Evaluate log₃ 3.
Answer: 1
31 = 3
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