10th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4 — 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 — 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.Solve: 5x + 4 = 25
Answer: x = −2
- 25 = 52
- x + 4 = 2
- x = −2
2.Evaluate log₅ 5.
Answer: 1
51 = 5
3.Write as a single logarithm: log 3 + log 7
Answer: log 21
log a + log b = log ab
4.Solve: 2x − 3 = 8
Answer: x = 6
- 8 = 23
- x − 3 = 3
- x = 6
5.Evaluate log₁₀ .
Answer: -2
10-2 =
6.Evaluate log₃ 9.
Answer: 2
32 = 9
7.Write as a single logarithm: log 4 + log 2
Answer: log 8
log a + log b = log ab
8.Evaluate log₅ 25.
Answer: 2
52 = 25
9.Solve: 2x + 3 = 2
Answer: x = −2
- 2 = 21
- x + 3 = 1
- x = −2
10.Write as a single logarithm: log 48 − log 8
Answer: log 6
log a − log b = log (a ÷ b)
11.Evaluate log₁₀ 100.
Answer: 2
102 = 100
12.Write as a single logarithm: log 9 + log 5
Answer: log 45
log a + log b = log ab
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