find the value of determinant
`|[1,log_(b)a],[log_(a)b,1]|`

The value of the determinant |{:(1,log_ba),(log_ab,1):}| is equal to

The value of the determinant ,log_(a)((x)/(y)),log_(a)((y)/(z)),log_(a)((z)/(x))log_(b)((y)/(z)),log_(b)((z)/(x)),log_(b)((x)/(y))log_(c)((z)/(x)),log_(c)((x)/(y)),log_(c)((y)/(z))]|

Find the value of the followings log_(a)(2)+log_(a)(1+(1)/(2))+log_(a)(1+(1)/(3))+...+log_(a)(1+(1)/(n))

Find the value of the followings log_(a)(2)+log_(a)(1-(1)/(2))+log_(a)(1-(1)/(3))+...+log_(a)(1-(1)/(n))

If a ge b gt 1 , then find the largest possible value of the expression log_(a)(a//b)+log_(a)(b//a) .

10 Find the value of log_(b)a.log_(c)b*log_(a)c

Find the value of ((1)/(log_(3)12)+(1)/(log_(4)12))

Find the value of b satisfying log_(sqrt(8))b=3(1)/(3)

If a>1,b>1, then the minimum value of log_(b)a+log_(a)b is

Find the value of x satisfying log_a{1+log_b{1+log_c(1+log_px)}}=0 .