✏️ Logarithms: Practice A (F-LE.A.4)

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Express solutions to exponential models as logarithms and evaluate them. Solve each problem.

1. log₅(625) = ___

2. Solve 10^x = 10

3. Solve 5^x = 7 (exact, then to 3 d.p.)

4. log₁₀(10,000) = ___

5. Solve 10^x = 100

6. Solve 2^x = 7 (exact, then to 3 d.p.)

7. log₁₀(10) = ___

8. Solve 3^x = 81

9. Solve 10^x = 1,000

10. Solve 10^x = 50 (exact, then to 3 d.p.)

11. log₅(5) = ___

12. Solve 3^x = 9

Answer key: 1) 4 · 2) x = 1 · 3) x = log_5(7) ≈ 1.209 · 4) 4 · 5) x = 2 · 6) x = log_2(7) ≈ 2.807 · 7) 1 · 8) x = 4 · 9) x = 3 · 10) x = log(50) ≈ 1.699 · 11) 1 · 12) x = 2

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Worksheets › Grade 11 Math (Algebra II) › Logarithms › Logarithms

Grade 11 (ages 16–17)Numbers & mathsFree printable PDF

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core F-LE.A.4): logarithms — twelve practice problems, with answer key. Skill: Express solutions to exponential models as logarithms and evaluate them. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

CCSS F-LE.A.4: Express solutions to exponential models as logarithms and evaluate them
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 11 (ages 16–17), but use it with any child who is ready.

What skills does it build?

Express solutions to exponential models as logarithms and evaluate them.

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More “Logarithms” printables (f-le.a.4: express solutions to exponential models as logarithms and evaluate them)

Logarithms: Practice B (F-LE.A.4) · Logarithms: Mixed Practice & Reasoning (F-LE.A.4) · Logarithms: Show Your Thinking (F-LE.A.4) · Logarithms: Quick Check (F-LE.A.4)

All 5 logarithms sheets → · Grade 11 Math (Algebra II): all 10 skills → · All Common Core grades

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