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Cogito

Algebra 2 · Chapter 6 · Lesson 1

Practice Worksheet

Logarithms as Inverses

The question "what power?" written down.

10 problems · about 21 minutes · F-BF.B.4, F-LE.A.4, A-SSE.B.3

NameDate

Figure — use these to answer the problems

The logarithm grows without limit but ever more slowly.
-8-8-6-6-4-4-2-222446688
y = 1 ln x + 0
  • Point(3, 1.10)
Stretch1
Shift up by0
Read at x3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Graphing Radical Functions”

    y = √(x − 8). What is the smallest allowed value of x?

    Answer

  2. From “Simplifying and Combining Radicals”

    √45 = a√5. What is a?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. What is log₄ 64?

    Answer

  2. Why does log(ab) = log a + log b?

    • A logarithm is an exponent, and multiplying powers adds exponents.
    • Because that is the law.

  3. What is log₃ 27?

    Answer

  4. What is log₅ 25?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. What is log₂ 1?

    Answer

  2. log 6 + log 5 = log of what number?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Power

    What is log₂ 32?

    Answer

  2. The Base Ten

    What is log₁₀ 1000?

    Answer