10th Grade Logarithms and Exponential Equations Worksheet — Level 2 — 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 — 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 16.
Answer: 4
24 = 16
2.Write as a single logarithm: log 15 − log 3
Answer: log 5
log a − log b = log (a ÷ b)
3.Write as a single logarithm: log 25 − log 5
Answer: log 5
log a − log b = log (a ÷ b)
4.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
5.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
6.Write 100 = 1 in logarithm form.
Answer: log₁₀ 1 = 0
ax = y means logₐ y = x.
7.Evaluate log₃ 3.
Answer: 1
31 = 3
8.Evaluate log₅ 5.
Answer: 1
51 = 5
9.Evaluate log₁₀ 100.
Answer: 2
102 = 100
10.Write 31 = 3 in logarithm form.
Answer: log₃ 3 = 1
ax = y means logₐ y = x.
11.Evaluate log₃ 1.
Answer: 0
30 = 1
12.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
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