Year 11 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Exponentials & LogarithmsYear 11 Logarithms and Exponential Equations Worksheet — Level 2 — 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 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
2.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
3.Write 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
4.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
5.Write as a single logarithm: log 7 + log 3
Answer: log 21
log a + log b = log ab
6.Evaluate log₅ .
Answer: -1
5-1 =
7.Write 2-2 = in logarithm form.
Answer: log₂ = -2
ax = y means logₐ y = x.
8.Evaluate log₅ 1.
Answer: 0
50 = 1
9.Write as a single logarithm: log 9 + log 8
Answer: log 72
log a + log b = log ab
10.Write as a single logarithm: log 35 − log 5
Answer: log 7
log a − log b = log (a ÷ b)
11.Evaluate log₃ 3.
Answer: 1
31 = 3
12.Write 3-2 = in logarithm form.
Answer: log₃ = -2
ax = y means logₐ y = x.
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