Year 13 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 13 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 13 · Mathematics · Exponentials & LogarithmsYear 13 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 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
2.Write as a single logarithm: log 7 + log 6
Answer: log 42
log a + log b = log ab
3.Evaluate log₂ 128.
Answer: 7
27 = 128
4.Evaluate log₃ .
Answer: -1
3-1 =
5.Write as a single logarithm: log 8 + log 3
Answer: log 24
log a + log b = log ab
6.Evaluate log₂ 32.
Answer: 5
25 = 32
7.Evaluate log₅ 25.
Answer: 2
52 = 25
8.Write as a single logarithm: log 5 + log 3
Answer: log 15
log a + log b = log ab
9.Evaluate log₅ 5.
Answer: 1
51 = 5
10.Write as a single logarithm: log 28 − log 7
Answer: log 4
log a − log b = log (a ÷ b)
11.Write 30 = 1 in logarithm form.
Answer: log₃ 1 = 0
ax = y means logₐ y = x.
12.Evaluate log₂ 4.
Answer: 2
22 = 4
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