All categories

3 years ago

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

Mathematics

2 answers:

avanturin [10]3 years ago

7 0

Short Answer x = - 6
Remark
You gave the second best answer.

The trick here is not to divide both sides by 2. Solve the problem this way.

log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2 Expand the equation
x^2 + 2x + 1 = 25 Subtract 25 from both sides.
x^2 + 2x - 24 = 0 Factor
(x + 6)(x - 4) = 0 Find the zeros.

x + 6 = 0
x = - 6 <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem

x - 4 = 0
x = 4 This is a legitimate result to the original equation.

Romashka-Z-Leto [24]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Write the equation in standard form. 8−5y=−2x

MrMuchimi

bearing in mind that

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

8 - 5y = - 2x

2x - 5y = - 8

4 0

3 years ago

3+x/3=x/2 answer and the steps please

AveGali [126]

Answer:

x = 18

Step-by-step explanation:

Given

3 + $\frac{x}{3}$ = $\frac{x}{2}$

Multiply through by the LCM of 2 and 3 to clear the fractions.

The LCM of 2 and 3 is 6, thus

18 + 2x = 3x ( subtract 2x from both sides )

18 = x

3 0

3 years ago

Four customers at a grocery store are buying apples. The table shows how many pounds of apples each customer bought and how much

malfutka [58]

Answer is C: 14

Explanation:
On the image added, the pounds of apples is half the cost. So if you would keep that same relationship and add $28.00 to one of the costs the outcome would be 14

4 0

3 years ago

Explain how you know these two figures are similar.

Alborosie

Answer:

Both figures are rhombuses, they have the same angle degrees, one is just slanted more and smaller than the other.

4 0

3 years ago

Solve by graphing.

Tatiana [17]

Answer:

(2, 4)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

6 0

3 years ago