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Solving Exponential Equations with Logarithms (Algebra 2)

Free printable Algebra 2 worksheet on solving exponential equations a·b^(cx) = d with base 2, 10 or e using logarithms, giving the exact logarithmic form and a rounded decimal.

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Algebra 2 · Math worksheet
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Algebra 2: Solving Exponential Equations with Logarithms

Solve each equation for x. Isolate the power, then take a logarithm of both sides. Give the exact answer as a logarithm and a decimal rounded to 4 places.

  1. 1.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: exe^{x} = 26
  2. 2.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 4e^(3x) = 148
  3. 3.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 4 · 10x10^{x} = 92
  4. 4.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 23x2^{3x} = 5
  5. 5.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 5e^x = 155
  6. 6.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 5e^(2x) = 190
  7. 7.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 2x2^{x} = 38
  8. 8.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 5 · 23x2^{3x} = 60
  9. 9.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 6 · 2x2^{x} = 36
  10. 10.
    Solve for x, giving the exact logarithmic form and a decimal rounded to 4 places: 102x10^{2x} = 30
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