Year 13 Logarithms and Exponential Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 13 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 13 · Mathematics · Exponentials & LogarithmsYear 13 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 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
2.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
3.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
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 log₃ 27.
Answer: 3
33 = 27
6.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
7.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
8.Evaluate log₁₀ 100.
Answer: 2
102 = 100
9.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
10.Evaluate log₅ 5.
Answer: 1
51 = 5
11.Write 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
12.Evaluate log₅ 125.
Answer: 3
53 = 125
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