We know that,log a - log B = log(a/b)Now,log(X+4)-log(x-4)=log2=>log[(x+4)/(x-4)]=log2=>(x+4)/(x-4)=2=>x+4=2(x-4)=>x+4=2x-8=>x-2x=-8-4=>-x= -12=>x=12Hence,the value of x=12
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