log (x+1) + log (x-1) = log 24
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log (x+1)+log (x-1)=log24
log (x+1)(x-1)=log24
now we can remove log
(x+1)(x-1)=24
x^2-1=24
x^2=25
x=+5,-5
but log to be defined
(x-1)> 0 and (x+1)> 0
hence
x> 1, and x>-1
so, x> 1 (by number line
so , x=-5 is not possible
hence x=5 is answer
log (x+1)(x-1)=log24
now we can remove log
(x+1)(x-1)=24
x^2-1=24
x^2=25
x=+5,-5
but log to be defined
(x-1)> 0 and (x+1)> 0
hence
x> 1, and x>-1
so, x> 1 (by number line
so , x=-5 is not possible
hence x=5 is answer
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