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10th Grade Logarithms and Exponential Equations Worksheet — Level 1 — 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 — 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 52 = 25 in logarithm form.

Answer: log₅ 25 = 2

ax = y means logₐ y = x.

2.Write 102 = 100 in logarithm form.

Answer: log₁₀ 100 = 2

ax = y means logₐ y = x.

3.Evaluate log₃ 9.

Answer: 2

32 = 9

4.Write 24 = 16 in logarithm form.

Answer: log₂ 16 = 4

ax = y means logₐ y = x.

5.Evaluate log₃ 27.

Answer: 3

33 = 27

6.Write 21 = 2 in logarithm form.

Answer: log₂ 2 = 1

ax = y means logₐ y = x.

7.Evaluate log₁₀ 100.

Answer: 2

102 = 100

8.Write 103 = 1000 in logarithm form.

Answer: log₁₀ 1000 = 3

ax = y means logₐ y = x.

9.Evaluate log₁₀ 10000.

Answer: 4

104 = 10000

10.Evaluate log₂ 128.

Answer: 7

27 = 128

11.Write 53 = 125 in logarithm form.

Answer: log₅ 125 = 3

ax = y means logₐ y = x.

12.Write 51 = 5 in logarithm form.

Answer: log₅ 5 = 1

ax = y means logₐ y = x.

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