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 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
2.Write 3-2 = in logarithm form.
Answer: log₃ = -2
ax = y means logₐ y = x.
3.Evaluate log₂ 2.
Answer: 1
21 = 2
4.Write as a single logarithm: log 3 + log 2
Answer: log 6
log a + log b = log ab
5.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
6.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
7.Evaluate log₅ .
Answer: -1
5-1 =
8.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
9.Write as a single logarithm: log 25 − log 5
Answer: log 5
log a − log b = log (a ÷ b)
10.Write 3-1 = in logarithm form.
Answer: log₃ = -1
ax = y means logₐ y = x.
11.Evaluate log₅ 1.
Answer: 0
50 = 1
12.Write as a single logarithm: log 45 − log 9
Answer: log 5
log a − log b = log (a ÷ b)
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