12th Grade Logarithms and Exponential Equations Worksheet — Level 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 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.Write as a single logarithm: log 16 − log 8
Answer: log 2
log a − log b = log (a ÷ b)
2.Evaluate log₅ 125.
Answer: 3
53 = 125
3.Write as a single logarithm: log 32 − log 8
Answer: log 4
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 3-1 = in logarithm form.
Answer: log₃ = -1
ax = y means logₐ y = x.
6.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
7.Write as a single logarithm: log 5 + log 4
Answer: log 20
log a + log b = log ab
8.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
9.Evaluate log₅ .
Answer: -1
5-1 =
10.Write 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
11.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
12.Evaluate log₃ 3.
Answer: 1
31 = 3
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