$${{\mathtt{27}}}^{{\mathtt{x}}} = {\mathtt{3}}$$
One way is to notice that $$27=3^3$$ so you have
$$27^x=(3^3)^x=3^{3x}$$
Your equation then becomes
$$3^{3x}=3^1$$
so 3x = 1
so x = 1/3
.
one over 3
1/3