11th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 11th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Exponentials & Logarithms11th Grade Logarithms and Exponential Equations Worksheet — Level 3 — 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.Solve: 10x + 2 = 1000
Answer: x = 1
- 1000 = 103
- x + 2 = 3
- x = 1
2.Evaluate log₂ 16.
Answer: 4
24 = 16
3.Solve: 22x + 6 = 16
Answer: x = −1
- 16 = 24
- 2x + 6 = 4
- x = −1
4.Evaluate log₂ 32.
Answer: 5
25 = 32
5.Solve: 103x = 1000
Answer: x = 1
- 1000 = 103
- 3x = 3
- x = 1
6.Solve: 102x + 4 = 100
Answer: x = −1
- 100 = 102
- 2x + 4 = 2
- x = −1
7.Solve: 2x = 2
Answer: x = 1
- 2 = 21
- x = 1
- x = 1
8.Write as a single logarithm: log 8 + log 9
Answer: log 72
log a + log b = log ab
9.Evaluate log₁₀ 100.
Answer: 2
102 = 100
10.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
11.Evaluate log₂ .
Answer: -1
2-1 =
12.Write as a single logarithm: log 3 + log 2
Answer: log 6
log a + log b = log ab
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