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Common Core Standard HSF-BF.B.5 Questions

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

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Grade 11 Quadratic Equations CCSS: HSF-BF.B.5
Which expression is equivalent to [math]log((3x^2)/y^4)[/math]
  1. 2 log 3x + 4 log y
  2. 2 log 3x - 4 log y
  3. log 3 + 2 log x + 4 log y
  4. log 3 + 2 log x - 4 log y
Grade 11 Quadratic Equations CCSS: HSF-BF.B.5
Simplify the expression [math] log 100^x [/math].
  1. [math]2[/math]
  2. [math]x[/math]
  3. [math]2x[/math]
  4. [math]2^x[/math]
Grade 11 Logarithms CCSS: HSF-BF.B.5
What expression is equivalent to [math]3log_4x + log_4y - 4log_4z?[/math]
  1. [math]log_4 ((3xy)/(4z))[/math]
  2. [math] log_4((x^3y)/z^4) [/math]
  3. l[math]log_4x^3yz^4[/math]
  4. [math]log_4x^3 + y - z^4[/math]
Grade 11 Quadratic Equations CCSS: HSF-BF.B.5
Simplify the expression [math]4^(log_4 16x)[/math]
  1. [math]2x[/math]
  2. [math]16x[/math]
  3. [math]4^(2x)[/math]
  4. [math]log 16x[/math]
Grade 11 Quadratic Equations CCSS: HSF-BF.B.5
Evaluate the expression [math] log_7 343 [/math]
  1. [math]1[/math]
  2. [math]3[/math]
  3. [math]21[/math]
  4. [math]49[/math]
Grade 9 Logarithms CCSS: HSF-BF.B.5
Which of the following correctly expresses the equation in logarithmic form?

[math]2^6=64[/math]
  1. [math]log_6 2=64[/math]
  2. [math]log_2 6=64[/math]
  3. [math]log_6 64=2[/math]
  4. [math]log_2 64=6[/math]
Grade 9 Logarithms CCSS: HSF-BF.B.5
Which of the following expresses the equation in correct exponential form?

[math]log_10 0.0001=-4[/math]
  1. [math]10^-3=0.001[/math]
  2. [math]10^-4=0.0001[/math]
  3. [math]10x10^-3=0.01[/math]
  4. [math]10x10^-4=0.001[/math]
Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 9 Logarithms CCSS: HSF-BF.B.5
Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 10 Logarithms CCSS: HSF-BF.B.5

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Grade 9 Logarithms CCSS: HSF-BF.B.5
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