Question

x^y=4096 what is the largest possible integer value for x-y

Answer 1

you want to maximize x and minimize y here to get x-y to be largest.

The values of x and y you would thus be looking for are x=4096 and y=1.
x-y=4096-1=4095

Answer 2

you want to maximize the difference, D=x-y.
substituting the constraint x^y=4096 ==> ylnx=ln4096 ==> y=(ln4096)/lnx,

D = x - ln4096/lnx.

differentiate D to find the x coordinate of the maximum value for D

Answer 3

dpalnc this is an sat question so it wouldnt have calculus but thx anyway

Answer 4

oopss sorry... :)

Answer 5

np :P