12th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4 — 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 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 27 − log 9
Answer: log 3
log a − log b = log (a ÷ b)
2.Write as a single logarithm: log 24 − log 6
Answer: log 4
log a − log b = log (a ÷ b)
3.Solve: 33x − 3 = 729
Answer: x = 3
- 729 = 36
- 3x − 3 = 6
- x = 3
4.Evaluate log₃ 81.
Answer: 4
34 = 81
5.Evaluate log₂ 4.
Answer: 2
22 = 4
6.Write as a single logarithm: log 12 − log 3
Answer: log 4
log a − log b = log (a ÷ b)
7.Solve: 52x + 2 = 15625
Answer: x = 2
- 15625 = 56
- 2x + 2 = 6
- x = 2
8.Write as a single logarithm: log 4 + log 9
Answer: log 36
log a + log b = log ab
9.Evaluate log₅ .
Answer: -2
5-2 =
10.Write as a single logarithm: log 30 − log 5
Answer: log 6
log a − log b = log (a ÷ b)
11.Solve: 10x + 3 = 10
Answer: x = −2
- 10 = 101
- x + 3 = 1
- x = −2
12.Evaluate log₂ 8.
Answer: 3
23 = 8
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