I need help on my homework. Plox, I will give you a thank you in return. 9^x = 1 what is x?

I need help on my homework. Plox, I will give you a thank you in return. 9^x = 1 what is x  ?

$${{\mathtt{9}}}^{{\mathtt{x}}} = {\mathtt{1}}$$

$$9^x=1 \quad | \quad \ln() \\ x*\ln(9) = \ln(1) \quad | \quad \ln(1) = 0\\ x*\ln(9) = 0 \quad | \quad : \ln(9) \\\\ x = \dfrac{ 0 } { \ln(9) } \\ \\ x = 0 \\ \small{\text{ Proof: $ 9^0 = 1 $ okay! }}$$

I think it is  as it gives me 1 $${\frac{{{\mathtt{9}}}^{{\mathtt{1}}}}{{\mathtt{9}}}}$$