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12th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the 12th Grade exponentials & logarithms worksheet.

Success TutoringWorksheetsAnswer sheet12th Grade · Mathematics · Exponentials & Logarithms

12th 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 22 = 4 in logarithm form.

Answer: log₂ 4 = 2

ax = y means logₐ y = x.

2.Evaluate log₂ 128.

Answer: 7

27 = 128

3.Evaluate log₅ 5.

Answer: 1

51 = 5

4.Write 34 = 81 in logarithm form.

Answer: log₃ 81 = 4

ax = y means logₐ y = x.

5.Evaluate log₁₀ 10.

Answer: 1

101 = 10

6.Evaluate log₅ 125.

Answer: 3

53 = 125

7.Evaluate log₁₀ 100.

Answer: 2

102 = 100

8.Evaluate log₁₀ 1000.

Answer: 3

103 = 1000

9.Write 54 = 625 in logarithm form.

Answer: log₅ 625 = 4

ax = y means logₐ y = x.

10.Write 25 = 32 in logarithm form.

Answer: log₂ 32 = 5

ax = y means logₐ y = x.

11.Write 52 = 25 in logarithm form.

Answer: log₅ 25 = 2

ax = y means logₐ y = x.

12.Write 26 = 64 in logarithm form.

Answer: log₂ 64 = 6

ax = y means logₐ y = x.

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