Find the general value of `log_(2)(5i),`
where `i=sqrt(-1).`

Find the value of log_(2) 32

Find he value of sum_(r=1)^(4n+7)\ i^r where, i=sqrt(- 1).

Find the value of (log)_(2sqrt(3))1728.

The value of sum_(n=0)^(100)i^(n!) equals (where i=sqrt(-1))

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purely imaginary with positive imaginary part.

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N .

The value of sum_(k=1)^(13)(i^(n)+i^(n+1)) , where i=sqrt(-1) equals :

Find the value of 49^((1-log_7(2)))+5^(-log_5(4) is

Find the value of the following log_(30)1

Find the perpendicular bisector of 3+4iand-5+6i,where i=sqrt(-1).