Question

3 la puterea x+3 la x+1+3la x+2=117
X=?

Answer 1

[tex]3^x+3^{x+1}+3^{x+2}=117\\ 3^x+3^x\cdot3+3^x\cdot 3^2=117\\ 3^x(1+3+9)=117\\ 3^{x}\cdot 13=117\\ 3^x=9\\ 3^x=3^2\Rightarrow x=2 [/tex]

Answer 2

3^x+3^x+1+3^x+2=117
3^x*(1+3+3^2)=117
3^x*(1+3+9)=117
3^x*13=117
3^x=117:13
3^x=9
x=2