If `a ,b ,a n dc` are positive and `9a+3b+c=90 ,` then the maximum value of `(loga+logb+logc)` is (base of the logarithm is 10).

If a,b, and c are positive and 9a+3b+c=90 , then the maximum value of (log a+log b+log c) is (base of the logarithm is 10)________.

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

If a, b, c are positive real numbers, then the minimum value of a^(logb-logc)+b^(logc-loga)+c^(loga-logb) is

If a,b,c, are positive numbers such that 2a+3b+4c=9, then

If a,b,c are positive real numbers such that a +b+c=18, find the maximum value of a^(2)b^(3)c^(4)

Let a,b,c are positive real number such that 9a+3b+c=90, then,(1) Maximum value of log_(10)a+log_(10)b+log_(10)c is equal to: (2) Maximum value of ab^(2)c^(3) is equal to:

If in a Delta ABC,/_C=90^(@), then the maximum value of sin A sin B is

If A+B=90^(@) , show that the maximum value of: cos Acos B is (1)/(2) .

If a, b, c and d are four positive numbers such that a+b+c+d=4 , then what is the maximum value of (a+1)(b+1)(c+1)(d+1) ?