решить уравнение

2^x*6^x=1/144

(1/5) ^2x+3=5^x-2

(1/3) ^2x+9 (1/3) ^x-162=0

2^x*6^x=1/144

12^x = 12^-2

x = - 2

(1/5) ^2x+3=5^x-2 | * 5^2x + 3

1 = 5^3x+1

5^0 5^3x+1

3x + 1 = 0

x = - 1/3

(1/3) ^2x+9 (1/3) ^x-162=0

(1/3) ^x = t

t ² + 9t - 162 = 0

по т. Виета корни - 18 и 9

а) t = - 18

(1/3) ^x = - 18

∅

б) (1/3) ^x = 9

x = - 2