11th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 2 — 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 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 2-2 = in logarithm form.
Answer: log₂ = -2
ax = y means logₐ y = x.
2.Write as a single logarithm: log 9 + log 3
Answer: log 27
log a + log b = log ab
3.Evaluate log₁₀ 100.
Answer: 2
102 = 100
4.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
5.Write as a single logarithm: log 6 + log 5
Answer: log 30
log a + log b = log ab
6.Evaluate log₃ 3.
Answer: 1
31 = 3
7.Evaluate log₁₀ 1.
Answer: 0
100 = 1
8.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
9.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
10.Evaluate log₅ .
Answer: -1
5-1 =
11.Evaluate log₃ 27.
Answer: 3
33 = 27
12.Write as a single logarithm: log 18 − log 9
Answer: log 2
log a − log b = log (a ÷ b)
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