Year 11 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 3 — 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 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.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
2.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
3.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
4.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
5.Write 21 = 2 in logarithm form.
Answer: log₂ 2 = 1
ax = y means logₐ y = x.
6.Evaluate log₅ 125.
Answer: 3
53 = 125
7.Evaluate log₃ 3.
Answer: 1
31 = 3
8.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
9.Evaluate log₅ 5.
Answer: 1
51 = 5
10.Evaluate log₅ 625.
Answer: 4
54 = 625
11.Evaluate log₃ 81.
Answer: 4
34 = 81
12.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
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