An inequation in the form `log_(h(x)) f(x) >= log_(h(x)) g(x)`

An inequation in the form log_(g(x))f(x)>=0

An inequation in the form log _(g(x))f(x)<=0

(log_(3)(x-3))/(x-7)+1=(log_(3)(x-3))/(x-1)h as

If f(x)=|log_(e) x|,then

Solve the inequality: log_(x-2)(2x-3)>log_(x-2)(24-6x)

The domain of f(x) = log_(3)log_(4)log_(5)(x) is

If a function is defined as f(x)=sqrt(log_(h(x))g(x)) , where g(x)=|sinx|+sinx,h(x)=sinx+cosx,0lexlepi . Then find th domain of f(x) .

Find the values of x satisfying the inequalities: log_(2)(x^(2)-24)>log_(2)(5x)

Solve the inequation log((x^(2)-12x+30)/(10))(log_(2)((2x)/(5)))>0

The set of values of x satisfying the inequality (1)/(log_(4)((x+1)/(x+2)))<=(1)/(log_(4)(x+3)) is