College Algebra

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Solve the exponential equation algebraically:

2^x+1=5^2x

  • College Algebra -

    2^(x+1) = 5^2x.

    Take log of both sides:
    (x+1)log2 = 2xlog5,
    0.301X + 0.301 = 1.398X,
    0.301X - 1.398X = -0.301,
    -1.097X = -0.301,
    X = 0.2744.

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