The equation `x log x = 3-x` has, in the interval (1,3) :

The equation x^(log_(3)x)=9 has

Verify Rolle's theorem for the function f(x) = {log (x^(2) +2) - log 3 } in the interval [-1,1] .

Verify Rolle's theorem for the function f(x) = {log (x^(2) +2) - log 3 } in the interval [-1,1] .

If log_(0.3) (x-1) lt log_(0.09) (x-1) , then x lies in the interval :

The equation log_(2)(3-x)+log_(2)(1-x)=3 has

The equation log_(2)(3-x)+log_(2)(1-x)=3 has

If x satisfies log_(3)(2x+1) < log_(3)5 ,then the solution set contains the interval(s)

If log_(0.3)(x-1) < log_(0.09)(x-1) , then x lies in the interval :

Let f(x)=3sin^(3)x+4x-sin|x|+log(1+|x|) beidd euen adefined on the interval [0,1]. The even extensionof f(x) to the interval [-1,0] is