Respuesta :

Answer:

x = 3.5

Step-by-step explanation:

Given

[tex]3^{2x-5}[/tex] = 9 , that is

[tex]3^{2x-5}[/tex] = 3²

Since the bases on both sides are equal, both 3 , then equate the exponents

2x - 5 = 2 ( add 5 to both sides )

2x = 7 ( divide both sides by 2 )

x = 3.5