Which of the following shows the extraneous solution to the logarithmic equation below?

2log5(x+1)=2

a) x = -6

b) x = -4

c) x = -2

d) x = -1

A)

Step-by-step explanation:

We can use logarithm properties to write it as:

On removing it gives:

Taking square root both sides.

Solving for we get:

and

Subtracting by 1 to both sides of both the above equations.

and

and

So we have got two solutions for the logarithmic equation.

Now we check the validity of the solutions by plugging values in the equation

Plugging

 [As ]

So, thats a valid solution.

Plugging

As is undefined, so is not a valid solution which means its extraneous.

the answer to this question is yes

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: