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Common Core Standard HSF-LE.A.4 Questions

For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

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Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
What is the exact solution to 8⋅2x=3?
  1. x=log2(38)
  2. x=log2(3)8
  3. x=log2(316)
  4. x=log(38)
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Solve exactly. 3⋅e2x=9
  1. x=log(32)
  2. x=13ln(92)
  3. x=ln(32)
  4. x=12ln(3)
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
What is the exact solution to 104x=e2?
  1. x=12ln(e)
  2. x=12log(e)
  3. x=2log(e2)
  4. x=log(e2)
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Find the exact solution to the following equation. 2⋅2x=5
  1. x=log(52)
  2. x=12log(5)
  3. x=log(52)log(2)
  4. x=log2(5)
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
What is the exact solution to the equation 7e3x=1?
  1. x=0
  2. x=13ln(17)
  3. x=ln(121)
  4. x=log(121)
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 4⋅27x=16.
  1. 8log(4)
  2. 116
  3. 2ln(6)
  4. 27
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Solve exactly. 12⋅1012x=8
  1. x=ln(43)
  2. x=log(43)
  3. x=13log(2)
  4. x=log(13)
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 6⋅103x=36.
  1. 13log(6)
  2. log(13)
  3. ln(3)
  4. 12
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