Respuesta :

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex] {2}^{2x - 3} + 52 = 180[/tex]

[tex] {2}^{2x - 3 } = 128[/tex]

[tex] {2}^{2x - 3} = {2}^{7} [/tex]

[tex]2x - 3 = 7[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]