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Converting Between Exponential and Logarithmic Form (Algebra 2)

Free printable Algebra 2 worksheet on converting between exponential form (b^y = x) and logarithmic form (log base b of x = y), in both directions.

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Algebra 2 · Math worksheet
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Math

Algebra 2: Converting Between Exponential and Logarithmic Form

Rewrite each statement in the other form, using the fact that b^y = x is equivalent to log base b of x equals y.

  1. 1.
    Write in logarithmic form: 10−210^{-2} = 1100
  2. 2.
    Write in exponential form: log₄(16) = 2
  3. 3.
    Write in logarithmic form: 232^{3} = 8
  4. 4.
    Write in exponential form: log₄(64) = 3
  5. 5.
    Write in logarithmic form: 10−110^{-1} = 110
  6. 6.
    Write in exponential form: log₄(116) = -2
  7. 7.
    Write in logarithmic form: 2−22^{-2} = 14
  8. 8.
    Write in exponential form: log₄(14) = -1
  9. 9.
    Write in logarithmic form: 10210^{2} = 100
  10. 10.
    Write in exponential form: log₅(25) = 2
  11. 11.
    Write in logarithmic form: 5−25^{-2} = 125
  12. 12.
    Write in exponential form: log₄(4) = 1
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