Which equation is equivalent to (1/3) ^x = 27 ^x + 2

Match bases

remeber if a^b=a^c where a=a then b=c

remember

(x^m) ^n=x^ (mn)

1 / (x^m) = x^-m

base of 3

(1/3) ^x = (3^-1) ^x=3^ (-x)

27^ (x+2) = (3^3) ^ (x+2) = 3^ (3x+6)

3^ (-x) = 3^ (3x+6)

-x=3x+6

0=4x+6

-6=4x

-3/2=x