5. (show your work bubble the correct answer) Solve the equation ((1)/(3))^x+1=((1)/(9))^x+3 A x=5 B x=-(7)/(3) C x=-5

To solve the equation $(\frac {1}{3})^{x+1}=(\frac {1}{9})^{x+3}$, we can rewrite both sides of the equation with the same base.<br /><br />$(\frac {1}{3})^{x+1} = (\frac {1}{3})^{2(x+3)}$<br /><br />Since the bases are the same, we can set the exponents equal to each other:<br /><br />$x+1 = 2(x+3)$<br /><br />Solving for $x$, we get:<br /><br />$x+1 = 2x+6$<br /><br />$-x = 5$<br /><br />$x = -5$<br /><br />Therefore, the correct answer is C) $x=-5$.