Find the number of solution of `theta in [0,2pi]` satisfying the equation `((log)_(sqrt(3))tantheta(sqrt((log)_(tantheta)3+(log)_(sqrt(3))3sqrt(3))=-1`

Find the number of solution of theta in [0,2pi] satisfying the equation (log)_(sqrt(3))tanthetasqrt((log)_(tantheta)3+(log)_(sqrt(3))3sqrt(3)) =-1

Find the number of solution of theta in[0,2 pi] satisfying the equation ((log)_(sqrt(3))tan theta(sqrt((log)_(tan theta)3+(log)_(sqrt(3))3sqrt(3))=-1

No of solutions of theta in [0,2pi] satisfying the equation log_(sqrt(3))tan theta)(sqrt((log_(tan theta)3+log_(sqrt(3))3sqrt(3)))=-1 is

The number of solutions of theta in [0,2pi] satisfying the equation log_(sqrt(5))tan theta sqrt(log_(tan theta)5sqrt(5)+log_(sqrt(5))5sqrt(5))=-sqrt(6) is ____________.

Number of solutions of x in[0,pi] satisfying the equations (log_(sqrt3)tanx)(sqrt(log_(sqrt3)3sqrt3+log_(tanx)3))=-1 is/are_____

Find the general solution for each of the following equations : tan^(2)theta+(1-sqrt(3))tantheta-sqrt(3)=0

log((1+i sqrt(3))/(1-i sqrt(3)))

The number of values of x satisfying the equation log_(2)(log_(3)(log_(2)x)))>=sqrt(8-x)+sqrt(x-8) is :

Find the general solution of the following equation: tantheta+tan2theta+sqrt(3)tanthetatan2theta=sqrt(3)

Find the integral value of x satisfying the equation |log_(sqrt(3))x-2|-|log_(3)x-2|=2