If `log_(2)(a^(3)b)=x` and `log_(2)((3a)/(b))=y` what is the value of `log_(2)a` ?

What is the value of log_(2)(log_(3)81) ?

If log_(b)3=4 and log_(b^(2))27=(3a)/(2)

If log_(4)5=a and log_(5)6=b then what is the value of log_(3)2

If log_(q)(xy)=3 and log_(q)(x^(2)y^(3))=4 , find the value of log_(q)x ,

If log_(2)(7)=a and log_(3)(2)=b, then the value of log_(14)(84) is

If (log_(x)x)(log_(3)2x)(log_(2x)y)=log_(x^(x^(2)) , then what is the value of y ?

If log_(sqrt(3))5=a and log_(sqrt(3))2=b then value of log_(sqrt(3))300 is

If log_(2)(log_(2)(log_(3)x))=log_(2)(log_(3)(log_(2)y))=0 then the value of (x+y) is

Let x,y and z be positive real numbers such that x^(log_(2)7)=8,y^(log_(3)5)=81 and z^(log_(5)216)=(5)^((1)/(3)) The value of (x(log_(2)7)^(2))+(y^(log_(3)5)^^2)+z^((log_(5)16)^(2)), is