Year 12 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 12 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Exponentials & LogarithmsYear 12 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 3 — 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 log₃ 3.
Answer: 1
31 = 3
2.Evaluate log₁₀ 10.
Answer: 1
101 = 10
3.Evaluate log₃ 9.
Answer: 2
32 = 9
4.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
5.Evaluate log₅ 625.
Answer: 4
54 = 625
6.Evaluate log₂ 32.
Answer: 5
25 = 32
7.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
8.Evaluate log₂ 2.
Answer: 1
21 = 2
9.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
10.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
11.Evaluate log₅ 25.
Answer: 2
52 = 25
12.Evaluate log₅ 125.
Answer: 3
53 = 125
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