Question

Find value of x
pls helpp meeeeeee

Answer 1

`3*9^(x+1)=27^(x-1)\\\\3*(3^2)^(x+1)=(3^3)^(x-1)\qquad\text{use}\ (a^n)^m=a^(nm)\\\\3*3^(2(x+1))=3^(3(x-1))\\\\3*3^(2x+2)=3^(3x-3)\qquad\text{use}\ a^n* a^m=a^(n+m)\\\\3^(1+2x+2)=3^(3x-3)\\\\3^(2x+3)=3^(3x-3)\iff2x+3=3x-3\qquad\text{subtract 3 from both sides}\\\\2x=3x-6\qquad\text{subtract 3x from both sides}\\\\-x=-6\to\boxed{x=6}`