Year 11 Logarithms and Exponential Equations Worksheet — Level 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 — 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 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
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 as a single logarithm: log 7 + log 9
Answer: log 63
log a + log b = log ab
4.Write as a single logarithm: log 36 − log 6
Answer: log 6
log a − log b = log (a ÷ b)
5.Evaluate log₅ 5.
Answer: 1
51 = 5
6.Write 5-1 = in logarithm form.
Answer: log₅ = -1
ax = y means logₐ y = x.
7.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
8.Write as a single logarithm: log 42 − log 6
Answer: log 7
log a − log b = log (a ÷ b)
9.Write 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
10.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
11.Evaluate log₃ 9.
Answer: 2
32 = 9
12.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
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