10th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 2 — 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 2-2 = in logarithm form.
Answer: log₂ = -2
ax = y means logₐ y = x.
2.Evaluate log₅ 1.
Answer: 0
50 = 1
3.Evaluate log₃ .
Answer: -2
3-2 =
4.Write as a single logarithm: log 32 − log 4
Answer: log 8
log a − log b = log (a ÷ b)
5.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
6.Evaluate log₁₀ 10.
Answer: 1
101 = 10
7.Evaluate log₂ 8.
Answer: 3
23 = 8
8.Evaluate log₃ 9.
Answer: 2
32 = 9
9.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
10.Write as a single logarithm: log 12 − log 3
Answer: log 4
log a − log b = log (a ÷ b)
11.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
12.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
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