Question #3ca5c

1 Answer
Jan 22, 2018

#x = 2.587# (3d.p.)

Explanation:

one way is to solve graphically.

to find the value of #x# for which #3-x = log x#, both graphs drawn can be used.

a point of intersection can be found.
the #x-#value of this point of intersection is the #x-#value for which #3-x = log x#.

desmos.com/calculator

here, the point where the graphs #y = log x# and #y = 3-x# intersect is numbered as #(2.587, 0.413)#.

this is an approximation to #3# decimal places.

#log_10 (2.587) ~~ 0.413#
#3-2.587 = 0.413#