Question

3^x+2 + 3^x+1 +3^x = 3^8*13

Answer 1

 

$\displaystyle\bf\\3^{x+2}+3^{x+1}+3^{x}=3^8\cdot13\\\\3^{x}\cdot3^2+3^{x}\cdot3^1+3^{x}=3^8\cdot13\\\\3^{x}\Big(3^2+3+1\Big)=3^8\cdot13\\\\3^{x}\Big(9+3+1\Big)=3^8\cdot13\\\\3^{x}\cdot13=3^8\cdot13~~\Big|:13\\\\3^{x}=3^8\\\\\implies~\boxed{\bf x=8}$