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