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Sagot :
Using logarithmic function concepts, it is found that the correct statement is:
x = 9 is a true solution and x = -9 is an extraneous solution.
What is a logarithmic function?
A logarithmic function is modeled by:
[tex]a = \log_{b}{x}[/tex]
It means that:
[tex]b^a = x[/tex]
In this problem, we have that:
[tex]2\log_{3}{x} = 4[/tex]
Applying the power property:
[tex]\log_3{x^2} = 4[/tex]
Applying the definition:
[tex]x^2 = 3^4[/tex]
[tex]x^2 = 81[/tex]
[tex]x = \pm 9[/tex]
As the logarithm function is defined only for positive values, the correct statement is:
x = 9 is a true solution and x = -9 is an extraneous solution.
You can learn more about logarithmic function concepts at https://brainly.com/question/26302013
Answer:
D on edge
Step-by-step explanation:
x=9 is true soltion and x = -9 is an extraneous soltion
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