" polue: "log_(x)3+log_(3)x=log sqrt(3)x+log_(3)sqrt(x)+1/2

Solve log_(x)3+log_(3)x=log_(sqrt(3))x+log_(3)sqrt(x)+(1)/(2)

log_(x)2x<=sqrt(log_(x)(2x^(3)))

3^(log_(3))sqrt(x-1)<3^(log_(3)(x-6))+3

Find the value of x satisfying the equation,sqrt((log_(3)3sqrt(3)x+log_(x)3sqrt(3)x)*log_(3)x^(3))+sqrt(((log_(3)(3sqrt(x)))/(3)+(log_(x)(3sqrt(x)))/(3))*log_(3)x^(3))=2

3^(log_(3)log sqrt(x))-log x+log^(2)x-3=0

The value of x satisfying log_(3)4 -2 log_(3)sqrt(3x +1) =1 - log_(3)(5x -2)

Solve for x, log_(x) 15 sqrt(5) = 2 - log_(x) 3 sqrt(5) .

solve for x if log_(4)log_(3)log_(2)x=0 and log_(e)log_(5)(sqrt(2x+2)-3)=0

Consider the inequalities log_(5)(x-3)+(1)/(2)log_(5)3<(1)/(2)log_(5)(2x^(2)-6x+7) and log_(3)x+log_(sqrt(3))x+log_((1)/(3))x<6