12th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 12th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet12th Grade · Mathematics · Exponentials & Logarithms12th 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 log₅ .
Answer: -2
5-2 =
2.Evaluate log₅ 1.
Answer: 0
50 = 1
3.Evaluate log₁₀ .
Answer: -1
10-1 =
4.Write as a single logarithm: log 45 − log 9
Answer: log 5
log a − log b = log (a ÷ b)
5.Evaluate log₃ 81.
Answer: 4
34 = 81
6.Solve: 5x − 1 = 5
Answer: x = 2
- 5 = 51
- x − 1 = 1
- x = 2
7.Evaluate log₂ 1.
Answer: 0
20 = 1
8.Evaluate log₃ .
Answer: -1
3-1 =
9.Evaluate log₂ 4.
Answer: 2
22 = 4
10.Write as a single logarithm: log 5 + log 4
Answer: log 20
log a + log b = log ab
11.Solve: 102x + 4 = 10000
Answer: x = 0
- 10000 = 104
- 2x + 4 = 4
- x = 0
12.Evaluate log₁₀ 10.
Answer: 1
101 = 10
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