Year 10 Logarithms and Exponential Equations Worksheet — Level 1 — 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 — 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 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
2.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
3.Evaluate log₅ 5.
Answer: 1
51 = 5
4.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
5.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
6.Evaluate log₃ 3.
Answer: 1
31 = 3
7.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
8.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
9.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
10.Evaluate log₁₀ 10.
Answer: 1
101 = 10
11.Evaluate log₅ 125.
Answer: 3
53 = 125
12.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
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