Let m be the minimum possible value of l...

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 _____

Similar Questions

Explore conceptually related problems

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

The range of y=log_(3)(9-x^(2))

log_(8)y=-(1)/(log_(3)2), then the value of y is

The x,y,z are positive real numbers such that log_(2x)z=3,log_(5y)z=6, and log_(xy)z=(2)/(3), then the value of ((1)/(2z)) is .........

Let x,y,z be positive real numbers such that log_(2x)z=3,log_(5y)z=6 and log_(xy)z=(2)/(3) then the value of z is

If log_(3) x log_(y) 3 log_(2) y = 5 , then x =

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