Задача 19360 (3/5)^x(25/9)^x-12=(3/5)^9...

u912175134

12.11.2017

(3/5)^x(25/9)^x-12=(3/5)^9

SOVA

12.11.2017

★

(25/9)^(x-12)=((5/3)^2)^(x-12)=(5/3)^(2x-24)=(3/5)^(24-2x)

(3/5)^x*(3/5)^(24-2x)=(3/5)^9

(3/5)^(x+24-2x)=(3/5)^9

x+24-2x=9
-x=-15

x=15