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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
Write 6412=8 in logarithmic form.
  1. log64(12)=8
  2. log128=64
  3. log648=12
  4. log1264=8
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 Logarithms CCSS: HSF-BF.B.5
Write 112=121 in logarithmic form.
  1. log2121=11
  2. log112=121
  3. log211=121
  4. log11121=2
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 Logarithms CCSS: HSF-BF.B.5
Write 133=2197 in logarithmic form.
  1. log133=2197
  2. log21973=13
  3. log132197=3
  4. log219713=3
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 10 Logarithms CCSS: HSF-BF.B.5
Write log28=3 in exponential form.
  1. 24=8
  2. 23=8
  3. 22=8
  4. 25=8
Grade 11 Exponents CCSS: HSF-BF.B.5
Solve. 5-3x=-40
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-BF.B.5, HSF-LE.A.4
Find the exact solution to the following equation. -3⋅2-5x=-13
  1. x=-25log2(13)
  2. x=log2(145)
  3. x=log2(-145)
  4. No solution.
Grade 11 Logarithms CCSS: HSF-BF.B.5
Simplify the expression. 4log416x
  1. 2x
  2. 16x
  3. 42x
  4. log16x
Grade 11 Logarithms CCSS: HSF-BF.B.5, HSF-LE.A.4
2x=64 is equivalent to which of the following?
  1. log64x=2
  2. log264=x
  3. log2x=64
  4. logx64=2
Grade 11 Logarithms CCSS: HSF-BF.B.5
64=1296 is equivalent to which of the following?
  1. log61296=4
  2. log41296=6
  3. log12966=3
  4. log64=1296
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