Answer:
x=-9
Step-by-step explanation:
[tex]9^{2x-3}=27^{2x+4}\\(3^2)^{2x-3}=(3^3)^{2x+4}\\3^{2(2x-3)}=3^{3(2x+4)}\\3^{4x-6}=3^{6x+12}[/tex]
As the bases(3) are same,
we can conclude that the powers are equal.
Hence,
[tex]4x-6=6x+12\\-6-12=6x-4x\\-18=2x\\x=-18/2\\x=-9[/tex]
