janicee1
janicee1 janicee1
  • 06-09-2020
  • Mathematics
contestada

If 27^27+27^27+27^27=3^k
What is k?

Respuesta :

mirai123
mirai123 mirai123
  • 06-09-2020

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]

Answer Link
Kimnamjoonofficial
Kimnamjoonofficial Kimnamjoonofficial
  • 10-01-2021

Answer:

K = 82

Step-by-step explanation:

Answer Link

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