Question

Salut! Am nevoie de rezolvare la urmatoarele ex.

a. 8^n+8^n+1=18×2^2003
b. 6^n+6^n+3=217×6^55

Multumesc!​

Answer 1

Explicație pas cu pas:

a) 8^n+8^n+1=18x2^2003=

=8^n(8^0+8^1)=9x2^2004

=2^3nx9=9x2^2004

=2^3n=2^2004

=3n=2004

n=2004:3

n=668

b)6^n+6^n+3=217x6^55=

=6^n(6^0+6^3)=271x6^55

=6^n(1+216)=217x6^55

=6^n=6^55

n=55

Sper ca te-am ajutat!