Year 10 Logarithms and Exponential Equations Worksheet — Level 2 — 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 2 — 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 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
2.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
3.Evaluate log₁₀ 100.
Answer: 2
102 = 100
4.Write as a single logarithm: log 2 + log 7
Answer: log 14
log a + log b = log ab
5.Write 5-1 = in logarithm form.
Answer: log₅ = -1
ax = y means logₐ y = x.
6.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
7.Evaluate log₃ 1.
Answer: 0
30 = 1
8.Write 10-1 = in logarithm form.
Answer: log₁₀ = -1
ax = y means logₐ y = x.
9.Write 2-1 = in logarithm form.
Answer: log₂ = -1
ax = y means logₐ y = x.
10.Evaluate log₂ .
Answer: -1
2-1 =
11.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
12.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
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