10th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Exponentials & Logarithms10th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 3 — 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 72 − log 9
Answer: log 8
log a − log b = log (a ÷ b)
2.Write as a single logarithm: log 7 + log 4
Answer: log 28
log a + log b = log ab
3.Write as a single logarithm: log 63 − log 7
Answer: log 9
log a − log b = log (a ÷ b)
4.Write 10-1 = in logarithm form.
Answer: log₁₀ = -1
ax = y means logₐ y = x.
5.Write as a single logarithm: log 81 − log 9
Answer: log 9
log a − log b = log (a ÷ b)
6.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
7.Write 10-2 = in logarithm form.
Answer: log₁₀ = -2
ax = y means logₐ y = x.
8.Evaluate log₂ 32.
Answer: 5
25 = 32
9.Evaluate log₅ 25.
Answer: 2
52 = 25
10.Write as a single logarithm: log 6 + log 5
Answer: log 30
log a + log b = log ab
11.Evaluate log₃ 81.
Answer: 4
34 = 81
12.Write as a single logarithm: log 28 − log 7
Answer: log 4
log a − log b = log (a ÷ b)
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