If `(log)_4 5=aa n d(log)_5 6=b ,` then `(log)_3 2` is equal to `1/(2a+1)` (b) `1/(2b+1)` (c) `2a b+1` (d) `1/(2a b-1)`

If (log)_a x=p a n d(log)_b x^2=q , t h e n(log)_xsqrt(a b) is equal to (where a , b , x in R^+-{1} )- a.1/p+1/q b. 1/(2p)+1/q c.1/p+1/(2q) d. 1/(2p)+1/(2q)

If x=log_(k)b=log_(b)c=(1)/(2)log_(c)d, then log_(k)d is equal to

If log ((a + b)/(2)) = (1)/(2) (log a + log b) , then a is equal to

((log)_(5)5)((log)_(4)9)((log)_(3)2) is equal to 2 b.5 c.1 d.(3)/(2)

If log_(10)2=a backslash and log_(10)3=b, then log_(5)12 equals a.(a+b)/(1+a) b.(2a+b)/(1+a) c.(a+2b)/(1+a)d(2a+b)/(1-a)

If (a+(log)_(4)3)/(a+(log)_(2)3)=(a+(log)_(8)3)/(a+(log_(4)3)=b, then b is equal to (1)/(2)(2)(2)/(3)( c) (1)/(3)( d ) (3)/(2)

(log sqrt(8))/(log8) is equal to a.(1)/(sqrt(8)) b.(1)/(4) c.(1)/(2) d.(1)/(8)

((log)_(5)3)xx((log)_(3)625) equals 1 b.2 c.3 d.4

If b >1,sint >0,cost >0a n d(log)_b(sint)=x ,t h e n(log)_b(cost) is equal to 1/2(log)_b(a-b^(2x)) (b) 2log(1-b^(x/2)) (log)_bsqrt(1-b^(2x)) (d) sqrt(1-x^2)