10th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 10th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Exponentials & Logarithms10th 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 5.
Answer: 1
51 = 5
2.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
3.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
4.Evaluate log₂ 4.
Answer: 2
22 = 4
5.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
6.Write 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
7.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
8.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
9.Evaluate log₂ 128.
Answer: 7
27 = 128
10.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
11.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
12.Evaluate log₅ 25.
Answer: 2
52 = 25
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