12th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 4 — 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 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.Evaluate log₃ 3.
Answer: 1
31 = 3
2.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
3.Write 5-1 = in logarithm form.
Answer: log₅ = -1
ax = y means logₐ y = x.
4.Write as a single logarithm: log 5 + log 9
Answer: log 45
log a + log b = log ab
5.Write as a single logarithm: log 8 + log 5
Answer: log 40
log a + log b = log ab
6.Write 104 = 10000 in logarithm form.
Answer: log₁₀ 10000 = 4
ax = y means logₐ y = x.
7.Write as a single logarithm: log 25 − log 5
Answer: log 5
log a − log b = log (a ÷ b)
8.Evaluate log₂ .
Answer: -2
2-2 =
9.Write 50 = 1 in logarithm form.
Answer: log₅ 1 = 0
ax = y means logₐ y = x.
10.Evaluate log₅ 625.
Answer: 4
54 = 625
11.Write 23 = 8 in logarithm form.
Answer: log₂ 8 = 3
ax = y means logₐ y = x.
12.Write as a single logarithm: log 28 − log 4
Answer: log 7
log a − log b = log (a ÷ b)
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