`(18)^(10)=4^5 3^x` Find `x`

If x+ (1)/(x)= sqrt3 find x^(54) + x^(30) + x^(18) + x^(6) + 4

(9+4sqrt(5))^(x)+(9-4sqrt(5))^(x)=18, then find x^(2)-(1)/(x^(2))

If 4^(x+3)=112+8xx4^(x) , find (18x)^(3x)

If 4^(x+3)=112+8xx4^(x); find (18x)^(3x)

If 18!10 = 4, 10!4 = 3 and 4!8 = -2, then find the value of 16!18 = ?

Matrix was given as det [[x-2,2x-3,3x-4],[2x-3,3x-4,4x-5],[3x-5,5x-8,10x-17]]=Ax^3+Bx^2+Cx+D . Find the value of B+C .

Evaluate : -7x^(2) + 18x^(2) + 3x^(2) - 5x^(2)

Find the roots of the following quadratic equations (if they exist) by the method of comleting the square: (1) 2x^(2)+x-4=0 " "(2) 6x^(2)+18x+10=0 (3) x^(2)+5x+7=0" "(4)x^(2)+3sqrt(3)x-12=0