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Solve 5^(x+1) = 125

Worked through step by step. More algebra.

Answer
x=2\boxed{x = 2}

Checking the result, 52+1=53=1255^{2+1} = 5^3 = 125, which matches the original equation.

Problem: Solve for xx in the equation 5x+1=1255^{x+1} = 125.

Steps

  1. Rewrite both sides with a common base
    5x+1=535^{x+1} = 5^3
  2. Equate the exponents
    x+1=3x + 1 = 3
  3. Subtract 1 from both sides
    x=2x = 2

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