Year 12 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 12 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 12 · Mathematics · Exponentials & LogarithmsYear 12 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 as a single logarithm: log 21 − log 3
Answer: log 7
log a − log b = log (a ÷ b)
2.Write as a single logarithm: log 18 − log 3
Answer: log 6
log a − log b = log (a ÷ b)
3.Write as a single logarithm: log 2 + log 5
Answer: log 10
log a + log b = log ab
4.Evaluate log₃ 1.
Answer: 0
30 = 1
5.Write as a single logarithm: log 2 + log 3
Answer: log 6
log a + log b = log ab
6.Write as a single logarithm: log 36 − log 6
Answer: log 6
log a − log b = log (a ÷ b)
7.Write as a single logarithm: log 48 − log 8
Answer: log 6
log a − log b = log (a ÷ b)
8.Write 5-2 = in logarithm form.
Answer: log₅ = -2
ax = y means logₐ y = x.
9.Write as a single logarithm: log 9 + log 7
Answer: log 63
log a + log b = log ab
10.Write as a single logarithm: log 5 + log 8
Answer: log 40
log a + log b = log ab
11.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
12.Evaluate log₂ 32.
Answer: 5
25 = 32
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