x^(log_(3)x)=9

The equation x^(log_(3)x)=(x^(3))/(9) has two solutions,say x_(1) and x_(2), with x_(1)

The equation x^([(log_(3)x)^(2) - 9/2 log_(3) x + 5] ) = 3sqrt3 has

If lamda_(1) is the product of values of x satisfy the equation (x)^(log_(3)x)=(x^(9))/((3)^(20)) and lamda_(2) is the number of integers in the solution set of the inequality log_(x)(4x-3)ge2 , the ((lamda_1)/2187+lamda_(2)) equals

The equation x[(log_(3)x)^(2)-(9)/(2)log_(3)x+5]=3sqrt(3) has

If 3^(log_(9)x)=2 , then x = ______.

Solve 4^(log_(9)x)-6x^(log_(9)2)+2^(log_(3)27)=0 .

Solve 4^(log_(9)x)-6x^(log_(9)2)+2^(log_(3)27)=0 .

The sum of all positive numbers x such that (log_(x)3)(log_(x) 9)+2=5 log_(x) 3 is a value between