12th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 12th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet12th Grade · Mathematics · Exponentials & Logarithms12th Grade Logarithms and Exponential Equations Worksheet — Level 1 — 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.Evaluate log₅ 125.
Answer: 3
53 = 125
2.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
3.Write 101 = 10 in logarithm form.
Answer: log₁₀ 10 = 1
ax = y means logₐ y = x.
4.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
5.Evaluate log₅ 5.
Answer: 1
51 = 5
6.Evaluate log₂ 64.
Answer: 6
26 = 64
7.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
8.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
9.Evaluate log₅ 25.
Answer: 2
52 = 25
10.Evaluate log₁₀ 10.
Answer: 1
101 = 10
11.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
12.Evaluate log₃ 9.
Answer: 2
32 = 9
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