Year 13 Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 4 — 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 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
2.Write 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
3.Evaluate log₁₀ 100.
Answer: 2
102 = 100
4.Evaluate log₃ 1.
Answer: 0
30 = 1
5.Write 30 = 1 in logarithm form.
Answer: log₃ 1 = 0
ax = y means logₐ y = x.
6.Write as a single logarithm: log 16 − log 4
Answer: log 4
log a − log b = log (a ÷ b)
7.Write as a single logarithm: log 72 − log 9
Answer: log 8
log a − log b = log (a ÷ b)
8.Evaluate log₅ 25.
Answer: 2
52 = 25
9.Write 3-2 = in logarithm form.
Answer: log₃ = -2
ax = y means logₐ y = x.
10.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
11.Write as a single logarithm: log 14 − log 7
Answer: log 2
log a − log b = log (a ÷ b)
12.Write as a single logarithm: log 8 − log 2
Answer: log 4
log a − log b = log (a ÷ b)
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