The value of `loga b-log|b|=` `loga` (b) `"log"|a|` (c) `-loga` (d) none of these

The value of loga b-log|b|= (a) loga (b) "log"|a| (c) -loga (d) none of these

The value of "log"_(a) b "log"_(b)c "log"_(c ) a is

If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y) is 1 (b) (log)_2 3-(log)_3 2 log(3/2) (d) none of these

The value of log_a b log_b c log_c a is ………………. .

If p >1 and q >1 are such that log(p+q)=logp+logq , then the value of log(p-1)+log(q-1) is equal to (a) 0 (b) 1 (c) 2 (d) none of these

If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)_d a+(log)_b d+(log)_a c+(log)_c b is (a) 4 (b) 2 (c) 1 (d)none of these

If y=(log)_(sinx)(tanx),t h e n(((dy)/(dx)))_(pi/4)"is equal to" (a) 4/(log2) (b) -4log2 (c) (-4)/(log2) (d) none of these

If x ,y ,z are in G.P. and a^x=b^y=c^z , then (log)_b a=(log)_a c b. (log)_c b=(log)_a c c. (log)_b a=(log)_c b d. none of these

Ifint_(log2)^x(dx)/(sqrt(e^x-1))=pi/6,"then " x " is equalto" (a)4 (b) log 8 (c) log 4 (d) none of these