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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 10 Logarithms CCSS: HSF-BF.B.5
Grade 11 Logarithms CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. [math]10^(log_(10) 3)[/math]
  1. 3
  2. 10
  3. 1000
  4. 1/3
  5. none of these are correct
Grade 11 Logarithms CCSS: HSF-BF.B.5
Evaluate. Write in simplest form. [math]e^(2 ln 10)[/math]
  1. [math]10[/math]
  2. [math]100[/math]
  3. [math]-2[/math]
  4. [math]1/2[/math]
  5. none of these are correct
Grade 11 Logarithms CCSS: HSF-BF.B.5
Write [math]4^2 = x[/math] in logarithmic form.
  1. [math]log_x4=2[/math]
  2. [math]log_4x=2[/math]
  3. [math]log_x2=4[/math]
  4. [math]log_4 2=x[/math]
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
What is the exact solution to [math]8*2^x = 3 ?[/math]
  1. [math]x = log_2(3/8)[/math]
  2. [math]x = log_2(3)/8[/math]
  3. [math]x = log_2(3/16)[/math]
  4. [math]x = log(3/8)[/math]
Grade 10 Logarithms CCSS: HSF-BF.B.5
Write [math]log_5 36=x[/math] in exponential form.
  1. [math]36x = 5[/math]
  2. [math]5^x = 36[/math]
  3. [math]x^5 = 36[/math]
  4. [math]10^x = 36[/math]
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