1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Assoli18 [71]
2 years ago
7

[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Mathematics
1 answer:
Nitella [24]2 years ago
6 0

Answer:

C

Step-by-step explanation:

Given the logarithmic equation

\log_4x+\log_4(x-3)=\log_4(-7x+21)

First, notice that

x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

\log_4x+\log_4(x-3)=\log_4x(x-3),

then

\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3

Hence, x=3 and x=-7 are extraneous solutions

You might be interested in
Solve for n: y=6nx – 10<br><br><br>And how to write the final answer ​
USPshnik [31]

Answer:

y=6nx-10

y+10=6nx

y+10/6x=n

therefore, n=y+10/6x.

Step-by-step explanation:

3 0
2 years ago
I really don't know where to go with this. I just need help with it fast. because idk what I'm doing I'm giving max points.
kow [346]
Y=ax+b
a... slope
b... interception on the line y

you get the equation y=-1/2 *x + 12
6 0
3 years ago
Read 2 more answers
3
Dimas [21]

Answer:

the line perpendicular: x=-3

Step-by-step explanation:

8 0
2 years ago
Identify the quadratic term in the function, f(x)=2x^2-3x+5
Nadusha1986 [10]
Answer: 2x^2

The three terms are
2x^2
-3x
5
as they are separated by a plus sign. You can think of it as 2x^2 + (-3x) + 5 if you want. The quadratic term is the term with the exponent of 2
7 0
3 years ago
What is 17/7 as a whole number?
deff fn [24]
17/7 cannot be put into a whole number, but it can be put into decimal form. The estimated decimal number is 2.43. You just divide 17 by 7 and then round. 

3 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record it
    5·1 answer
  • Betty bought a package of meat that weighed 1.75 kilograms and another that weighed 1.54 kilograms how much meat did she buy alt
    6·1 answer
  • You guys will argue over anything. 6÷2(1 2)
    8·1 answer
  • License plates in a particular state display 22 letters followed by 33 numbers. how many different license plates can be manufac
    6·1 answer
  • Solve the inequality -17 &lt; 3x + 4 ≤ 19
    9·1 answer
  • What is 0 times 1/4 ?
    9·2 answers
  • 2 profesiones que se utiliza la Notacion Científica
    13·1 answer
  • 1/2 of a right angle is a? answers: A. reflex angle B. obtuse angle C. acute angle D. straight angle
    9·2 answers
  • What is the value of x?
    14·2 answers
  • 1. Enrico sold a 10-pound box of assorted chocolates. Some of the chocolates in the box sold
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!