Year 10 Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 3 — 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 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 log₃ 81.
Answer: 4
34 = 81
3.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
4.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
5.Evaluate log₅ 5.
Answer: 1
51 = 5
6.Evaluate log₅ 25.
Answer: 2
52 = 25
7.Evaluate log₅ 625.
Answer: 4
54 = 625
8.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
9.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
10.Evaluate log₂ 4.
Answer: 2
22 = 4
11.Evaluate log₂ 16.
Answer: 4
24 = 16
12.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
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