Year 12 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 4 — 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 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 log₂ 64.
Answer: 6
26 = 64
2.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
3.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
4.Evaluate log₅ 25.
Answer: 2
52 = 25
5.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
6.Evaluate log₁₀ 100.
Answer: 2
102 = 100
7.Evaluate log₃ 27.
Answer: 3
33 = 27
8.Evaluate log₅ 125.
Answer: 3
53 = 125
9.Evaluate log₂ 2.
Answer: 1
21 = 2
10.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
11.Evaluate log₃ 9.
Answer: 2
32 = 9
12.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
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