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Algebra 2 7-4 Mixed Review: Properties of Logarithms

Last updated about 3 years ago
7 questions
10

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 _{125}3=-5
  • \log _5\frac{1}{125}=-3
  • \log _72=49
  • \log _27=49
  • \log _749=2
  • 49=7^2
  • 5^{-3}=\frac{1}{125}
8

Review Lesson 6-5: Solve. Check for extraneous solutions.
Select all that apply.

10

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)=.

8

Vocabulary Review: Classify each expression on the left.

  • a\cdot b^{\left(x+1\right)}
  • \log \left(x^2-1\right)
  • \log _464
  • 3^9
  • Logarithms
  • Not logarithms
6

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=
9

Vocabulary Review: Classify each statement on the left.

  • If log_b x=y,
    then b^{x}=y.
  • If 3^{2}=x,
    then log_2 x=3.
  • If log x =w,
    then 10^{w}=x.
  • True
  • False
5

Use Your Vocabulary: Identify the slope formula.