🧠 Logarithms: Show Your Thinking (F-LE.A.4)

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

1. log₁₀(10,000) = ___

Show your work

2. Solve 3^x = 27

Show your work

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

Show your work

4. log₅(125) = ___

Show your work

5. Solve 5^x = 25

Show your work

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

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 4 · 2) x = 3 · 3) x = log_2(7) ≈ 2.807 · 4) 3 · 5) x = 2 · 6) x = log(50) ≈ 1.699

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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 — problems with space to show work and explain reasoning, 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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What age is it for?

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 A (F-LE.A.4) · Logarithms: Practice B (F-LE.A.4) · Logarithms: Mixed Practice & Reasoning (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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