11th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 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 as a single logarithm: log 54 − log 6
Answer: log 9
log a − log b = log (a ÷ b)
2.Write as a single logarithm: log 15 − log 3
Answer: log 5
log a − log b = log (a ÷ b)
3.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
4.Evaluate log₂ 8.
Answer: 3
23 = 8
5.Evaluate log₁₀ .
Answer: -2
10-2 =
6.Evaluate log₁₀ .
Answer: -1
10-1 =
7.Evaluate log₃ .
Answer: -1
3-1 =
8.Write as a single logarithm: log 3 + log 4
Answer: log 12
log a + log b = log ab
9.Evaluate log₅ 1.
Answer: 0
50 = 1
10.Write 3-1 = in logarithm form.
Answer: log₃ = -1
ax = y means logₐ y = x.
11.Write 5-2 = in logarithm form.
Answer: log₅ = -2
ax = y means logₐ y = x.
12.Write 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
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