If `(log)_(10)sinx+(log)_(10)cosx=-1a n d(log)_(10)(sinx+cosx)=(((log)_(10)n)-1)/2,` then the value of `' n//3'` is_______

If log_(10)sinx+ log_(10)cosx+1 and log_(10)(sinx+cosx)=((log_(10)n)-1)/2 , then the value of 'n/3' is _______

log_(10)sin x+log_(10)cos x=-1 and log_(10)(sin x+cos x)=((log_(10)n)-1)/(2) then the value of 'n/3' is

If log_(10)sin x + log_(10)cos x=-1 and log_(10)(sin x + cos x)=((log_(10)n)-1)/(2) , then the value of 'n//3' is ......

log_(10)sinx+log_(10)cosx=-1 , log_(10)(sinx+cosx)=1/2(log_(10)n-1) Then n=

If "log"_(10) sin x+"log"_(10)cos x=-1 and "log"_(10)(sin x+cosx)=(("log"_(10)n)n-1)/(2) then the value of n is ____________

If "log"_(10) sin x+"log"_(10)cos x=-1 and "log"_(10)(sin x+cosx)=(("log"_(10)n)n-1)/(2) then the value of n is ____________

If log_(10) sin x+log_(10)cos x=-1 and log_(10)(sinx+cosx)=(log_(10)n-1)/2 then the value of n is (a) 24 (b) 36 (c) 20 (d) 12_

If for x in (0, (pi)/(2) ) , log _(10) sin x + log _(10) cos x =-1 and log _(10) (sin x + cos x) = (1)/(2) ( log _(10) n-1), n gt 0, then the value of n is equal to :

If log_(cosx)sinx+log_(sinx)cosx=2 , then x =

log_(10)10+log_(10)10^(2)+ . . .+log_(10)10^(n)