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

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Question 47445: I have problems with logs please help
log4 (x - 2) + log4 (x - 2) = 1
Answer by longjonsilver(2297) About Me  (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:
+%28x+-+2%29%28x+-+2%29+=+4%5E1+

+x%5E2+-+4x+%2B+4+=+4+
+x%5E2+-+4x+=+0+
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