12th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 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 2 — 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.Evaluate log₂ 4.
Answer: 2
22 = 4
2.Write as a single logarithm: log 27 − log 3
Answer: log 9
log a − log b = log (a ÷ b)
3.Write as a single logarithm: log 18 − log 2
Answer: log 9
log a − log b = log (a ÷ b)
4.Evaluate log₅ 125.
Answer: 3
53 = 125
5.Write as a single logarithm: log 5 + log 3
Answer: log 15
log a + log b = log ab
6.Write as a single logarithm: log 21 − log 7
Answer: log 3
log a − log b = log (a ÷ b)
7.Write as a single logarithm: log 6 − log 2
Answer: log 3
log a − log b = log (a ÷ b)
8.Write 27 = 128 in logarithm form.
Answer: log₂ 128 = 7
ax = y means logₐ y = x.
9.Write 5-1 = in logarithm form.
Answer: log₅ = -1
ax = y means logₐ y = x.
10.Write as a single logarithm: log 72 − log 8
Answer: log 9
log a − log b = log (a ÷ b)
11.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
12.Write as a single logarithm: log 6 + log 5
Answer: log 30
log a + log b = log ab
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