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Algebra · Exponential-Equations

Solve 2^(2x) - 5·2^x + 4 = 0

2^{2 x} - 5 \cdot 2^{x} + 4 = 0

Step by step

  1. 2^{2 x} - 5 \cdot 2^{x} + 4 = 0

    Start from the equation as given.

  2. 2^{2 x} - 5 \cdot 2^{x} + 4 = 0

    Bring everything to one side.

  3. 2^{2 x} - 5 \cdot 2^{x} + 4 = 0

    Isolate the exponential, then take a logarithm of both sides.

  4. x = 0 ,\; x = 2

    Solve for the variable.

Reveal the answer
x = 0 ,\; x = 2