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Ecuatii exponentiale.

Ma intererseaza rezolvarea completa, nu raspunsul.


Ecuatii Exponentiale Ma Intererseaza Rezolvarea Completa Nu Raspunsul class=

Răspuns :

Raspuns {-5;+5}

4^x +1/4^x =23

(2^2)^x +1/(2^2)^x =23

(2^x)^2 +1/(2^x)^2 =23

Dar: (2^x)^2 +1/(2^x)^2 = (2^x +1/2^x)^2 -2

Deci: (2^x +1/2^x)^2 -2=23

(2^x +1/2^x)^2 =25

2^x +1/2^x=+/-5