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calculus

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solve the following exponential equation. exact answers only


1-8x 3x
¨i =e

*I know that I did not post this correctly but I do not know how to put the 1-8x above the pie symbol and 3x above the e.

  • calculus -

    Normally that would be rendered as

    pi^(1-8x) = e^(3x)

    so, take ln of both sides:

    (1-8x) ln(pi) = 3x
    ln(pi) - 8ln(pi) x = 3x
    x(3+8ln(pi)) = ln(pi)
    x = ln π/(3 + 8 ln π)

  • calculus -

    Thanks for telling me how to actually write it here.

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