11th Grade Logarithms and Exponential Equations Worksheet — Level 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 — 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 log₅ 25.
Answer: 2
52 = 25
2.Evaluate log₂ .
Answer: -2
2-2 =
3.Solve: 5x + 2 = 25
Answer: x = 0
- 25 = 52
- x + 2 = 2
- x = 0
4.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
5.Write as a single logarithm: log 21 − log 3
Answer: log 7
log a − log b = log (a ÷ b)
6.Evaluate log₁₀ 10.
Answer: 1
101 = 10
7.Write as a single logarithm: log 6 + log 8
Answer: log 48
log a + log b = log ab
8.Evaluate log₅ 625.
Answer: 4
54 = 625
9.Write as a single logarithm: log 15 − log 5
Answer: log 3
log a − log b = log (a ÷ b)
10.Solve: 3x + 5 = 3
Answer: x = −4
- 3 = 31
- x + 5 = 1
- x = −4
11.Evaluate log₁₀ 100.
Answer: 2
102 = 100
12.Solve: 22x − 2 = 4
Answer: x = 2
- 4 = 22
- 2x − 2 = 2
- x = 2
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