SOLUTION: I have problems with logs please help log4 (x - 2) + log4 (x

SOLUTION: I have problems with logs please help log4 (x - 2) + log4 (x - 2) = 1

Question 47445: I have problems with logs please help
log4 (x - 2) + log4 (x - 2) = 1
Answer by longjonsilver(2297) (Show Source): 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

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