The function F(x) is defined for all

*positive real values of x* and is such that:

F(3x) = 3F(x), and:

F(x) = 1 - abs(x-2) for 1 ≤ x ≤ 3.

Determine the minimum value of x for which F(x) = F(2001).

*** abs(x) refers to the

**absolute value** of x.

**F(2001)=3*F(2001/3)= (3^2)*F(2001/(3^2))=…. (3^5)* F(2001/(3^5))=729*F(2.744856).**

** ****F(2.7444856)=1-.744856)=.****255144**

**F(2001)=729*.255144 =185.999976**

**rem: I've used more digits after 2.7448590... and**

**the answer came out exactly 186.**

*Edited on ***November 20, 2014, 10:02 am**