11th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 11th Grade exponentials & logarithms worksheet.
Success TutoringWorksheetsAnswer sheet11th Grade · Mathematics · Exponentials & Logarithms11th 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 5 + log 8
Answer: log 40
log a + log b = log ab
2.Write as a single logarithm: log 4 + log 9
Answer: log 36
log a + log b = log ab
3.Evaluate log₃ 1.
Answer: 0
30 = 1
4.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
5.Write as a single logarithm: log 10 − log 2
Answer: log 5
log a − log b = log (a ÷ b)
6.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
7.Write 20 = 1 in logarithm form.
Answer: log₂ 1 = 0
ax = y means logₐ y = x.
8.Write as a single logarithm: log 27 − log 3
Answer: log 9
log a − log b = log (a ÷ b)
9.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
10.Write as a single logarithm: log 72 − log 9
Answer: log 8
log a − log b = log (a ÷ b)
11.Write as a single logarithm: log 42 − log 7
Answer: log 6
log a − log b = log (a ÷ b)
12.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
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