10th Grade Logarithms and Exponential Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 10th Grade exponentials & logarithms worksheet.
10th 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 52 = 25 in logarithm form.
Answer: log₅ 25 = 2
ax = y means logₐ y = x.
2.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
3.Evaluate log₃ 9.
Answer: 2
32 = 9
4.Write 24 = 16 in logarithm form.
Answer: log₂ 16 = 4
ax = y means logₐ y = x.
5.Evaluate log₃ 27.
Answer: 3
33 = 27
6.Write 21 = 2 in logarithm form.
Answer: log₂ 2 = 1
ax = y means logₐ y = x.
7.Evaluate log₁₀ 100.
Answer: 2
102 = 100
8.Write 103 = 1000 in logarithm form.
Answer: log₁₀ 1000 = 3
ax = y means logₐ y = x.
9.Evaluate log₁₀ 10000.
Answer: 4
104 = 10000
10.Evaluate log₂ 128.
Answer: 7
27 = 128
11.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
12.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
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