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Mathematics Worksheet

📊 Logarithms

Chapter: Algebra II · Level ★★☆ · Time: 30 min
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After this worksheet you can
Evaluate logarithms.Understand a log as the inverse of an exponent.Use special log values.Interpret log notation.
📚 Quick Recap

A logarithm answers the question 'what exponent gives me this number?' — the inverse operation of exponentiation, and the key to solving equations where the variable is stuck in an exponent.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1log2(32) = ?
2log10(10000) = ?
3log5(25) = ?
4log3(27) = ?
y = log₂(x): the inverse of 2ⁿ

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5A logarithm answers: to what must the base be raised?
6log2(32) = .
7Evaluate log2(32).
8Evaluate log10(10000).
9Evaluate log5(25).

🚀 Section C · Challenge ● CHALLENGE 5

10Evaluate log3(27).
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 power   6 5   7 = 5   8 = 4   9 = 2  |  10 = 3

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