11th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 11th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Exponentials & Logarithms11th 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 10 − log 5
Answer: log 2
log a − log b = log (a ÷ b)
2.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
3.Write as a single logarithm: log 2 + log 5
Answer: log 10
log a + log b = log ab
4.Write as a single logarithm: log 36 − log 4
Answer: log 9
log a − log b = log (a ÷ b)
5.Evaluate log₃ 1.
Answer: 0
30 = 1
6.Write as a single logarithm: log 5 + log 3
Answer: log 15
log a + log b = log ab
7.Write as a single logarithm: log 6 + log 6
Answer: log 36
log a + log b = log ab
8.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
9.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
10.Evaluate log₂ 16.
Answer: 4
24 = 16
11.Write as a single logarithm: log 6 + log 9
Answer: log 54
log a + log b = log ab
12.Evaluate log₁₀ 100.
Answer: 2
102 = 100
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