You can
put this solution on YOUR website!log4 (x - 2) + log4 (x - 2) = 1
two logs added is really just one log with multiplied terms:
log4 ((x - 2)(x - 2)) = 1
Now we raise both side to base 4 to remove the log term:

x(x-4) = 0
so either x=0 or x-4=0
so we have x=0 or x=4
Logs are fairly straight forward.... just learn the 3 basic laws and apply them properly, as i have done above.
jon