Year 11 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 3 — 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 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 as a single logarithm: log 7 + log 4
Answer: log 28
log a + log b = log ab
2.Write 20 = 1 in logarithm form.
Answer: log₂ 1 = 0
ax = y means logₐ y = x.
3.Evaluate log₃ 9.
Answer: 2
32 = 9
4.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
5.Write 5-2 = in logarithm form.
Answer: log₅ = -2
ax = y means logₐ y = x.
6.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
7.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
8.Evaluate log₅ 1.
Answer: 0
50 = 1
9.Write as a single logarithm: log 9 + log 5
Answer: log 45
log a + log b = log ab
10.Evaluate log₅ 625.
Answer: 4
54 = 625
11.Evaluate log₂ 16.
Answer: 4
24 = 16
12.Write as a single logarithm: log 72 − log 8
Answer: log 9
log a − log b = log (a ÷ b)
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