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Determine the coordinates of the point on the curve representing the function f(x)=ln(2x-1) where the tangent is parallel to the line with equation 2x-5y=0

Thanks for any help!

  • maths -

    The slope of the 2x -5y = 0 line is 2/5.

    You are looking for a point on the f(x) curve where f'(x) = 2/5

    f'(x) = 2/(2x -1) = 2/5
    x = 3
    f(x) = ln(5) = 1.60944

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