Jerome solved the equation below by graphing log (2, x + log (2, (x - 2))) = 3

B.) is the correct answer i just took the pre-test

The value of x will be solved as follows:

log_2 x+log_2 (x-2) = 3

this can be written as:

log_2 x+log_2 (x-2) = log_2 8

log_2 (x (x-2)) = log_2 8

the log_2 will cancel out and we shall have:

x (x-2) = 8

x^2-2x=8

x^2-2x-8

solving for x we get:

x^2+2x-4x-8

x (x+2) - 4 (x+2)

= (x+2) (x-4)

hence:

x=4 or x=-2