10th Grade Logarithms and Exponential Equations Worksheet — Level 2 — Practice Set 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 — Practice Set 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.Write 53 = 125 in logarithm form.
Answer: log₅ 125 = 3
ax = y means logₐ y = x.
2.Write as a single logarithm: log 64 − log 8
Answer: log 8
log a − log b = log (a ÷ b)
3.Write 34 = 81 in logarithm form.
Answer: log₃ 81 = 4
ax = y means logₐ y = x.
4.Evaluate log₃ .
Answer: -2
3-2 =
5.Write as a single logarithm: log 18 − log 3
Answer: log 6
log a − log b = log (a ÷ b)
6.Write 102 = 100 in logarithm form.
Answer: log₁₀ 100 = 2
ax = y means logₐ y = x.
7.Write as a single logarithm: log 5 + log 2
Answer: log 10
log a + log b = log ab
8.Write as a single logarithm: log 8 + log 4
Answer: log 32
log a + log b = log ab
9.Write 33 = 27 in logarithm form.
Answer: log₃ 27 = 3
ax = y means logₐ y = x.
10.Write as a single logarithm: log 30 − log 5
Answer: log 6
log a − log b = log (a ÷ b)
11.Write as a single logarithm: log 6 + log 9
Answer: log 54
log a + log b = log ab
12.Write 51 = 5 in logarithm form.
Answer: log₅ 5 = 1
ax = y means logₐ y = x.
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.