`(log)_(x-1)x (log)_(x-2)(x-1) (log)_(x-12)(x-11)=2,x` is equal to: 9 (b) 16 (c) 25 (d) none of these

log(x-1)+log(x-2)lt log(x+2)

2log x-log(x+1)-log(x-1) is equals to

If log_(3){5+4log_(3)(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) log_(2)16

If log(x^(2) - 16) le log_(e) (4 x -11) , then

lim_(x rarr oo)(x(log x)^(3))/(1+x+x^(2)) equal 0(b)-1(c)1(d) none of these

Integration of (1)/(1+((log)_(e)x)^(2)) with respect to (log)_(e)x is ((tan^(-1)((log)_(e)x))/(x)+C(b)tan^(-1)((log)_(e)x)+C(c)(tan^(-1)x)/(x)+C(d) none of these

(1)/(log_((a)/(b))x)+(1)/(log_((b)/(c))x)+(1)/(log_((c)/(a))x) is equal to:

(log (x^(3) + 3x^(2) + 3x + 1))/(log (x^(2) + 2x + 1)) is equal to

If log_(2)[log_(3)(log_(2)x)]=1, then x is equal to a.0 b.12 c.128d.512