7la puterea x + 7 la puterea x+2=2450

7la Puterea X 7 La Puterea X22450 class=

Răspuns :


[tex] {7}^{x} + {7}^{x + 2} = 2450 \\ = > {7}^{x} (1 + {7}^{2} ) = 2450 \\ = > {7}^{x} \times 50 = 2450 \\ {7}^{x} = 2450 \div 50 = 49 \\ {7}^{x} = 49 = {7}^{2} = > x = 2[/tex]