3^(2x-3)-9^(x-1)+27^(2x/3)=675

3 ^ (2x-3) -9 ^ (x-1) +27 ^ (2 (x) / (3)) = 675

f(x)=3x^(4)+2x^(3)-(x^(2))/(3)-(x)/(9)+(2)/(27),g(x)=x+(2)/(3)

The value of: (9^(x)(9^(x-1)))^(x)/(9^(x+1).3^(2x-2)){(729^(x/3))/81}^(-x) + (3^(a) -2^(3) .3^(a-2))/(3^(a) -3^(a-1)) is:

If (9^(n)x3^(2)x3^(n)-27^(n))/(3^(3m)x2^(3))=(1)/(27), prove that m-n=1

(3.27^(x+1)+27.3^(3x))/(3.3^(3x+2)-(1)/(3)*27^(x+1))

If (9^nx3^2x(3^(-n/2))^(-2)-(27)^n)/(3^(3m)x2^3)=1/(27), Prove that m-n=1.

The , total number of distinct x in R for which det[[x,x^(2),1+x^(3)2x,4x^(2),1+8x^(3)3x,9x^(2),1+27x^(3)]]=10 is (A)0(B)1(C)2 (D) 3,