Answer:
[tex]\large{\boxed{k=82}}[/tex]
Step-by-step explanation:
[tex]27^{27}+27^{27}+27^{27}=3^k[/tex]
[tex]3 \cdot 27^{27}=3^k[/tex]
[tex]3 \cdot (3^3)^{27}=3^k[/tex]
[tex]3 \cdot 3^{81}=3^k[/tex]
[tex]3^{82}=3^k \implies k=82[/tex]
K = 82
