Which of the following is true regarding the solutions to the logarithmic equation below?

Note that the logarithmic function is determined for all

Now solve the equation:

Since this is an extraneous solution.

Since this is true solution.

correct option is D

Hence, option D is correct.

x=9 is a true solution and x=-9 is a extraneous solution.

Step-by-step explanation:

" In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem "

" A true solution is a valid solution of the equation "

We are given a equation as:

Now as we know that the logarithmic function is not defined for negative 'x'.

Hence x= -9 is a invalid solution or we can say is a extraneous solution.

and x=9 is a true solution.

Hence, option D is correct.

x=9 is a true solution and x=-9 is a extraneous solution.

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step-by-step explanation: