11th Grade Logarithms and Exponential Equations Worksheet — Level 1 — 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 1 — 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.Evaluate log₂ 4.
Answer: 2
22 = 4
2.Evaluate log₃ 81.
Answer: 4
34 = 81
3.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
4.Write 32 = 9 in logarithm form.
Answer: log₃ 9 = 2
ax = y means logₐ y = x.
5.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
6.Evaluate log₅ 25.
Answer: 2
52 = 25
7.Evaluate log₂ 2.
Answer: 1
21 = 2
8.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
9.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
10.Evaluate log₅ 125.
Answer: 3
53 = 125
11.Evaluate log₂ 128.
Answer: 7
27 = 128
12.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
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