help me to solve this equaction : x=15+2 ln((1+x)/2) ?

Answer 1

ur equation is x=15+2ln((1+x)/2)

(x-15)/2=ln((1+x)/2)

let (1+x)/2=t

(x+1-16)/2=ln((1+x)/2)

t-8=ln(t)


let t-8=y

y=ln(y+8)

e(y) = y+8

now e(y) and y+8 never intersect

so their is no solution to this equation

Answer 2

This is a transcendental equation and has to be solved numerically. I plotted in Matlab, zoomed in and found x is about 16.923

Answer 3

x=17
(1+17)
=18/2
=9

i guess..