10th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 3 — 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 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.Solve: 103x − 3 = 1000000
Answer: x = 3
- 1000000 = 106
- 3x − 3 = 6
- x = 3
2.Write as a single logarithm: log 54 − log 9
Answer: log 6
log a − log b = log (a ÷ b)
3.Write as a single logarithm: log 18 − log 9
Answer: log 2
log a − log b = log (a ÷ b)
4.Evaluate log₂ .
Answer: -1
2-1 =
5.Solve: 102x + 2 = 100
Answer: x = 0
- 100 = 102
- 2x + 2 = 2
- x = 0
6.Write as a single logarithm: log 9 + log 5
Answer: log 45
log a + log b = log ab
7.Write as a single logarithm: log 9 + log 7
Answer: log 63
log a + log b = log ab
8.Write as a single logarithm: log 8 + log 4
Answer: log 32
log a + log b = log ab
9.Solve: 5x + 4 = 5
Answer: x = −3
- 5 = 51
- x + 4 = 1
- x = −3
10.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
11.Write as a single logarithm: log 72 − log 8
Answer: log 9
log a − log b = log (a ÷ b)
12.Evaluate log₁₀ 100.
Answer: 2
102 = 100
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