Respuesta :

Answer:

[tex]x=-9[/tex] is an extraneous solution: True

[tex]x=9[/tex] is the only solution: True

Step-by-step explanation:

The given logarithmic equation is: [tex]2\log_3x=4[/tex]

Apply the property [tex]n\log_ab=\log_ab^n[/tex] to the LHS to get: [tex]\log_3x^2=4[/tex]

We rewrite the corresponding indicial expression to get:

[tex]x^2=3^4[/tex]

Simplify the RHS to get:

[tex]x^2=81[/tex]

Take square root to get:

[tex]x=\pm 9[/tex]

Since the domain of the logarithmic function is positive real numbers, the only solution is [tex]x=9[/tex]

Answer:

The answer is d on egde

Step-by-step explanation:

I just got it right