find domain of function
log log (|x-5|-2)
3 3
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4
f( x ) = log3log3 (| x -5 | -2)
for log to be defined
( | x -5 | -2) > 0 and log3 ( | x -5 | -2) >0
| x - 5 | > 2 and | x -5| -2> 1 and |x -5| > 3
so,
| x - 5 | > 3
( x -5 ) > 3 or ( x -5 ) < -3
x > 8 or x < 2
so , domain x € ( 8 , ∞ ) U ( -∞ , 2)
for log to be defined
( | x -5 | -2) > 0 and log3 ( | x -5 | -2) >0
| x - 5 | > 2 and | x -5| -2> 1 and |x -5| > 3
so,
| x - 5 | > 3
( x -5 ) > 3 or ( x -5 ) < -3
x > 8 or x < 2
so , domain x € ( 8 , ∞ ) U ( -∞ , 2)
Anonymous:
dear abhi...answer is wrong
correct it
sorry now correct it
is this answr dear
refresh it
and see the answer
Answered by
2
see attachment.......
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we know | x | > a is x > a and x < -a
thanks dear abhi
here < this symbol ????
is 3 is base of log???
if 3 is base of log then my ans is correct
if you correct then put x = 1 ,
ohh sorry , by mistake
yes 3 is base
then my ans is correct
if base is 3
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