11th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 11th Grade exponentials & logarithms worksheet.
11th Grade Logarithms and Exponential Equations Worksheet — Level 1 — 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 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
2.Evaluate log₂ 32.
Answer: 5
25 = 32
3.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
4.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
5.Evaluate log₂ 4.
Answer: 2
22 = 4
6.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
7.Evaluate log₃ 81.
Answer: 4
34 = 81
8.Evaluate log₅ 625.
Answer: 4
54 = 625
9.Evaluate log₂ 64.
Answer: 6
26 = 64
10.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
11.Evaluate log₃ 27.
Answer: 3
33 = 27
12.Evaluate log₂ 2.
Answer: 1
21 = 2
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