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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-LE.A.4
Solve for x in 7⋅214x=56.
  1. -log(2)log(8)
  2. -24
  3. 314
  4. log(8)7
Grade 11 Exponents CCSS: HSF-BF.B.5, HSF-LE.A.4
Solve for x. e4x+2=1
  1. 1
  2. e
  3. -12
  4. 2
  5. none of these are correct
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 11⋅27x=121.
  1. -log(8)6
  2. 2log(112)
  3. -log(8)11
  4. log(11)7log(2)
Grade 11 Exponents CCSS: HSF-LE.A.4
Solve for x in 15⋅e10x=90.
  1. ln(6)10
  2. log(5)13
  3. ln(15)6
  4. -815
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)
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