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.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.