11th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4 — 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 4 — 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 as a single logarithm: log 40 − log 8
Answer: log 5
log a − log b = log (a ÷ b)
2.Evaluate log₅ 25.
Answer: 2
52 = 25
3.Evaluate log₂ 32.
Answer: 5
25 = 32
4.Evaluate log₃ .
Answer: -1
3-1 =
5.Write as a single logarithm: log 4 + log 5
Answer: log 20
log a + log b = log ab
6.Write as a single logarithm: log 81 − log 9
Answer: log 9
log a − log b = log (a ÷ b)
7.Evaluate log₅ .
Answer: -1
5-1 =
8.Solve: 52x − 2 = 15625
Answer: x = 4
- 15625 = 56
- 2x − 2 = 6
- x = 4
9.Evaluate log₂ 2.
Answer: 1
21 = 2
10.Write as a single logarithm: log 8 + log 4
Answer: log 32
log a + log b = log ab
11.Evaluate log₂ 4.
Answer: 2
22 = 4
12.Write as a single logarithm: log 8 + log 3
Answer: log 24
log a + log b = log ab
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