maximum value of `log_5(3x+4y)` , if `x^2+y^2=25` is

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

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

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

The maximum value of p for which the lines 3x-4y=2, 3x-4y=12, 12x+5y=7 and 12x+5y=p constitute the sides of a rhombous 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 .

If log_((x-y))(x+y)=5 , then what is the value of log_(x^(2)-y^(2))(x^(2)-2xy + y^(2))?