the graphs of y=log[2]x and 2^y=x :a intersect in only one point b intersect in two points c are the same graph d do not...

The functions we have are y = log (2) x and 2^y =
x

2^y = x

take the log the
base 2 of both the sides

log (2)(2^y) = log(2)
x

use the relation log a^n = n*log
a

=> y * log (2) 2  = log(2)
x

log(2) 2 = 1

=> y =
log(2) x

This is the same as the other graph we
have.

The correct option is option c, are the
same graph.