Task/5383211
---------------------
( (1/27) *9^x) ^(2x +3 ) =(1/3)^ 9x ;
(3⁻³ *3²ˣ)^ (2x+3) = (3⁻¹)⁹ˣ ;
(3 ^(2x-3) ) ^(2x+3) =3⁻⁹ˣ ;
3^ ( 2x-3)(2x+3) ) = 3⁻⁹ˣ ;
(2x-3)(2x+3) = -9x ;
4x² - 9 = 9x ;
4x² -9x -9 =0 ; D = 9² -4*4*(-9) =9(9+16) =9*25 =(3*5)² .
x₁= (9 -15)/2*4 = -3/4 ;
x ₂ =(9+15)/8 = 3 .
ответ : -3/4 , 3.
.