book Maths Puzzle Numerical Ability

i am supposed to find a value of "x", but i am not given the equation, only its derrivative. and when i integrate it, i get a value plus a constant, which i do not know. pls help

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I am not sure how to express this question:

ln(Ae^Bx)

I am thinking of simplifying it to

(lnA)-Blnx ?
a rectangle has a perimeter of 68 inches. its legnth is 2 inches less than 3 times a width. what are the legth and width of the rectange