Year 10 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Exponentials & LogarithmsYear 10 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — 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 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
2.Evaluate log₂ 8.
Answer: 3
23 = 8
3.Evaluate log₅ 25.
Answer: 2
52 = 25
4.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
5.Evaluate log₃ 27.
Answer: 3
33 = 27
6.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
7.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
8.Evaluate log₅ 625.
Answer: 4
54 = 625
9.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
10.Evaluate log₂ 128.
Answer: 7
27 = 128
11.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
12.Evaluate log₁₀ 10.
Answer: 1
101 = 10
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