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Algebra · Exponential-Equations

Solve 3^(x + 1) = 27

3^{x + 1} = 27

Step by step

  1. 3^{x + 1} = 27

    Start from the equation as given.

  2. 3 \cdot 3^{x} - 27 = 0

    Bring everything to one side.

  3. 3 \cdot 3^{x} - 27 = 0

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

  4. x = 2

    Solve for the variable.

Reveal the answer
x = 2