[" Maximum value of "log_(5)(3x+4y)" if "x^(2)+y^(2)=25],[" is "]

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

If x>=y>1 then the maximum value of log_(x)((x)/(y))+log_(y)((y)/(x)) is equal to

If log_(y)x+log_(x)y=7, then the value of (log_(y)x)^(2)+(log_(x)y)^(2), is

Find the maximum value of 3x + 4y for x gt 0, y gt 0 such that x^(2)y^(2) = 6 .

If log_((x+y))(x - y) = 7 , then the value of log_((x^(2)-y^(2)))(x^(2)+2xy+y^(2)) is ______.

Let m be the minimum possible value of log_(3)(3^(y_(1))+3^(y_(2))+3^(y_(3))) . Where y_(1),y_(2),y_(3) are real number for which y_(1)+y_(2)+y_(3)=9 Let M be the maxmum possible value of (log3x_(1)+log_(3) x_(2)+ log_(3) x_(2)) where x_(1), x_(2), x_(3) are positive real numbers for whcih x_(1)+x_(2)+x_(3)=9 then the value of log_(2)m^(3)+log_(3)(M^(2)) is _____

If x = log_(3) 4 " and " y = log_(5) 3 , find the value of log_(3) 10 " and " log_(3) (1 . 2) in terms of x and y .

What is the value of log_(y)x^(5)log_(x)y^(2)log_(z)z^(3) ?