Answer:
x=-4
Step-by-step explanation:
[tex] {9}^{2x + 1} = {81}^{x - 2} \div {3}^{x} [/tex]
[tex] {3}^{2(2x + 1)} = {3}^{4(x - 2)} \div {3}^{x} [/tex]
[tex] {3}^{4x + 2} = {3}^{4x - 2} \div {3}^{x} [/tex]
[tex] {3}^{4x + 2} = {3}^{4x - 2 - x} [/tex]
[tex]4x + 2 = 3x - 2[/tex]
[tex]4x - 3x = - 2 - 2[/tex]
[tex]x = - 4[/tex]
