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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.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Exponentials & Logarithms

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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