11th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 3 — 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 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.Solve: 2x + 5 = 4
Answer: x = −3
- 4 = 22
- x + 5 = 2
- x = −3
2.Evaluate log₃ 81.
Answer: 4
34 = 81
3.Evaluate log₁₀ .
Answer: -1
10-1 =
4.Write as a single logarithm: log 8 + log 3
Answer: log 24
log a + log b = log ab
5.Write as a single logarithm: log 10 − log 2
Answer: log 5
log a − log b = log (a ÷ b)
6.Solve: 2x + 3 = 2
Answer: x = −2
- 2 = 21
- x + 3 = 1
- x = −2
7.Write as a single logarithm: log 6 + log 8
Answer: log 48
log a + log b = log ab
8.Evaluate log₅ .
Answer: -2
5-2 =
9.Evaluate log₂ .
Answer: -1
2-1 =
10.Evaluate log₁₀ 10.
Answer: 1
101 = 10
11.Solve: 103x + 6 = 1000
Answer: x = −1
- 1000 = 103
- 3x + 6 = 3
- x = −1
12.Solve: 102x + 4 = 10000
Answer: x = 0
- 10000 = 104
- 2x + 4 = 4
- x = 0
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