Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 3 Baseline (x) = 4. Log Subscript 3 Baseline (x squared) = 4. X squared = 3 Superscript 4. X squared = 81. X = 9, negative 9 x = 9 and x = negative 9 are true solutions x = 9 and x = negative 9 are extraneous solutions x = 9 is an extraneous solution and x = negative 9 is a true solution x = 9 is a true solution and x = negative 9 is an extraneous solution.

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joaobezerra joaobezerra · Answer 1 · 2022-02-17T12:30:07+01:00

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.

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

japhetlaguna53 japhetlaguna53 · Answer 2 · 2022-04-13T16:52:05+02:00

Answer:

D on edge

Step-by-step explanation:

x=9 is true soltion and x = -9 is an extraneous soltion

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