10th Grade Logarithms and Exponential Equations Worksheet — Level 3 — 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 3 — 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 81.
Answer: 4
34 = 81
2.Evaluate log₃ 3.
Answer: 1
31 = 3
3.Evaluate log₂ 4.
Answer: 2
22 = 4
4.Solve: 10x − 3 = 100
Answer: x = 5
- 100 = 102
- x − 3 = 2
- x = 5
5.Solve: 5x − 1 = 125
Answer: x = 4
- 125 = 53
- x − 1 = 3
- x = 4
6.Solve: 52x + 6 = 25
Answer: x = −2
- 25 = 52
- 2x + 6 = 2
- x = −2
7.Solve: 2x + 6 = 8
Answer: x = −3
- 8 = 23
- x + 6 = 3
- x = −3
8.Evaluate log₅ 5.
Answer: 1
51 = 5
9.Solve: 3x + 6 = 27
Answer: x = −3
- 27 = 33
- x + 6 = 3
- x = −3
10.Evaluate log₁₀ .
Answer: -2
10-2 =
11.Evaluate log₅ 125.
Answer: 3
53 = 125
12.Evaluate log₅ 625.
Answer: 4
54 = 625
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