2

Part of 2002 Stanford Mathematics Tournament

Problems(2)

SMT 2002 Algebra #2

Source:

Solve for all real

x

that satisfy the equation

4^x=2^x+6

SMT 2002 Geometry #2

Source:

Upon cutting a certain rectangle in half, you obtain two rectangles that are scaled down versions of the original. What is the ratio of the longer side length to the shorter side length?

geometryrectangleratio