If `x^(2) + y^(2) = 23xy`, then show that 2log(x + y) = 2log 5 + log x + log y.

if x^(2)+y^(2)= 25 xy then prove that 2log(x+y) = 3log 3 + log x + logy.

If x^(2)+y^(2)=6xy prove that 2log(x+y)=log x+log y+3log2

If x^(2)+y^(2)=10xy prove that 2log(x+1)=log x+log y+2log2+log3

For relation 2 log y - log x - log ( y-1) =0

If x^(y)=e^(x-y), then show that (dy)/(dx)=(log x)/((1+log x)^(2))

log (x + y) = log2 + (1) / (2) log x + (1) / (2) log y, then

If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

If x and y are positive real numbers such that 2log(2y - 3x) = log x + log y," then find the value of " x/y .

If (x-y)^(2)=121xy and 2log(x+y)=k+log x+log y then k=

If x^(2)+y^(2)=14xy and 2log(k(x+y))=(log x+log y) ,then the value of k is