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Laabri

Algebra 2 7-4 Mixed Review: Properties of Logarithms

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Last updated over 3 years ago
7 Nsɛmmisa
10
8
A.REI.2
N.RN.2
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A.REI.4.b
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Review Lesson 7-3: Identify the correct logarithmic form from the left of each equation in exponential form on the right. Not all logarithmic form equations will be used.

  • \log _27=49

  • \log _{125}3=-5

  • \log _5\frac{1}{125}=-3

  • \log _72=49

  • \log _749=2

  • 49=7^2

  • 5^{-3}=\frac{1}{125}

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Review Lesson 6-5: Solve. Check for extraneous solutions.

Select all that apply.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Review Lesson 5-5: Write a polynomial function f(x) with rational coefficients and the given roots.

Write your function in standard polynomial form (with terms in descending order of their powers of x) and use function notation beginning with f(x)=.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Vocabulary Review: Classify each expression on the left.

  • \log _464

  • \log \left(x^2-1\right)

  • a\cdot b^{\left(x+1\right)}

  • 3^9

  • Logarithms

  • Not logarithms

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Review Lesson 7-3: Evaluate each logarithm. Not all answers in the left column will be used.

  • 1/4

  • 1/3

  • 1/2

  • 2

  • 3

  • 4

  • \log _{12}144=

  • \log _464=

  • \log _{64}4=

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Vocabulary Review: Classify each statement on the left.

  • If log x =w,

    then 10^{w}=x.

  • If 3^{2}=x,

    then log_2 x=3.

  • If log_b x=y,

    then b^{x}=y.

  • True

  • False

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Use Your Vocabulary: Identify the slope formula.