Math (pre calculus)

Solve 2^3-x = 5^2x+1

Give an exact solution.

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  1. do you mean

    2^(3-x) = 5^(2x+1) ??????

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  2. if so then
    (3x-1) ln 2 = (2x+1) ln 5

    3 x ln 2 - 2 x ln 5 = ln 5 + ln 2

    x (ln 8 - ln 25) = ln 10

    x ln (8/25) = ln 10

    x = ln 10 / ln (8/25)

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