10th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade exponentials & logarithms worksheet.
10th 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.Evaluate log₃ 9.
Answer: 2
32 = 9
2.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
3.Evaluate log₁₀ 10.
Answer: 1
101 = 10
4.Evaluate log₁₀ 100.
Answer: 2
102 = 100
5.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
6.Evaluate log₅ 125.
Answer: 3
53 = 125
7.Evaluate log₂ 16.
Answer: 4
24 = 16
8.Evaluate log₅ 5.
Answer: 1
51 = 5
9.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
10.Write 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
11.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
12.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
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