10th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 2 — 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 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.Evaluate log₁₀ .
Answer: -1
10-1 =
2.Solve: 32x − 2 = 729
Answer: x = 4
- 729 = 36
- 2x − 2 = 6
- x = 4
3.Write as a single logarithm: log 6 + log 4
Answer: log 24
log a + log b = log ab
4.Evaluate log₃ .
Answer: -2
3-2 =
5.Evaluate log₃ 27.
Answer: 3
33 = 27
6.Solve: 32x − 2 = 9
Answer: x = 2
- 9 = 32
- 2x − 2 = 2
- x = 2
7.Write as a single logarithm: log 2 + log 9
Answer: log 18
log a + log b = log ab
8.Solve: 32x + 4 = 9
Answer: x = −1
- 9 = 32
- 2x + 4 = 2
- x = −1
9.Write as a single logarithm: log 45 − log 5
Answer: log 9
log a − log b = log (a ÷ b)
10.Solve: 3x − 1 = 3
Answer: x = 2
- 3 = 31
- x − 1 = 1
- x = 2
11.Solve: 2x + 4 = 8
Answer: x = −1
- 8 = 23
- x + 4 = 3
- x = −1
12.Evaluate log₁₀ .
Answer: -2
10-2 =
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