Year 10 Logarithms and Exponential Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Exponentials & LogarithmsYear 10 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 as a single logarithm: log 49 − log 7
Answer: log 7
log a − log b = log (a ÷ b)
2.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
3.Evaluate log₅ 1.
Answer: 0
50 = 1
4.Write 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
5.Write as a single logarithm: log 9 + log 9
Answer: log 81
log a + log b = log ab
6.Write as a single logarithm: log 30 − log 5
Answer: log 6
log a − log b = log (a ÷ b)
7.Write as a single logarithm: log 54 − log 9
Answer: log 6
log a − log b = log (a ÷ b)
8.Write as a single logarithm: log 6 + log 3
Answer: log 18
log a + log b = log ab
9.Evaluate log₅ .
Answer: -1
5-1 =
10.Write as a single logarithm: log 16 − log 8
Answer: log 2
log a − log b = log (a ÷ b)
11.Write as a single logarithm: log 8 + log 3
Answer: log 24
log a + log b = log ab
12.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
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