Year 11 Logarithms and Exponential Equations Worksheet — Level 1 — 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 — 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 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
2.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
3.Evaluate log₃ 9.
Answer: 2
32 = 9
4.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
5.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
6.Evaluate log₁₀ 10.
Answer: 1
101 = 10
7.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
8.Evaluate log₅ 5.
Answer: 1
51 = 5
9.Evaluate log₅ 625.
Answer: 4
54 = 625
10.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
11.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
12.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
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