Question

5 в степени x^2-2 = 1/5 в степени x

Answer 1

5 ^ ( X^2 - 2 ) = ( 1/5 ) ^ X 
5 ^ ( X^2 - 2 ) = 5 ^ ( - X ) 
X^2 - 2 = - X 
X^2 + X - 2 = 0
D = 1 + 8 = 9 ; √ D = 3 
X1 = ( - 1 + 3 ) : 2 = 1 
X2 = ( - 1 - 3 ) : 2 = - 2