12th Grade Logarithms and Exponential Equations Worksheet — Level 3 — 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 — 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 log₂ .
Answer: -1
2-1 =
2.Evaluate log₃ 3.
Answer: 1
31 = 3
3.Write as a single logarithm: log 45 − log 5
Answer: log 9
log a − log b = log (a ÷ b)
4.Write as a single logarithm: log 6 − log 3
Answer: log 2
log a − log b = log (a ÷ b)
5.Write as a single logarithm: log 5 + log 6
Answer: log 30
log a + log b = log ab
6.Solve: 10x − 3 = 10
Answer: x = 4
- 10 = 101
- x − 3 = 1
- x = 4
7.Evaluate log₅ .
Answer: -1
5-1 =
8.Evaluate log₃ 1.
Answer: 0
30 = 1
9.Solve: 2x − 1 = 2
Answer: x = 2
- 2 = 21
- x − 1 = 1
- x = 2
10.Write as a single logarithm: log 16 − log 2
Answer: log 8
log a − log b = log (a ÷ b)
11.Write as a single logarithm: log 24 − log 3
Answer: log 8
log a − log b = log (a ÷ b)
12.Write as a single logarithm: log 42 − log 7
Answer: log 6
log a − log b = log (a ÷ b)
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