12th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 12th Grade exponentials & logarithms worksheet.
12th Grade Logarithms and Exponential Equations Worksheet — Level 1 — 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 22 = 4 in logarithm form.
Answer: log₂ 4 = 2
ax = y means logₐ y = x.
2.Evaluate log₂ 128.
Answer: 7
27 = 128
3.Evaluate log₅ 5.
Answer: 1
51 = 5
4.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
5.Evaluate log₁₀ 10.
Answer: 1
101 = 10
6.Evaluate log₅ 125.
Answer: 3
53 = 125
7.Evaluate log₁₀ 100.
Answer: 2
102 = 100
8.Evaluate log₁₀ 1000.
Answer: 3
103 = 1000
9.Write 54 = 625 in logarithm form.
Answer: log₅ 625 = 4
ax = y means logₐ y = x.
10.Write 25 = 32 in logarithm form.
Answer: log₂ 32 = 5
ax = y means logₐ y = x.
11.Write 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
12.Write 26 = 64 in logarithm form.
Answer: log₂ 64 = 6
ax = y means logₐ y = x.
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