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
vodka [1.7K]
3 years ago
12

Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 6 Baseline (x) = 2. lo

g Subscript 6 Baseline (x squared) = 2. x squared = 6 squared. x squared = 36. x = 6, negative 6. x = 6 and x = negative 6 are true solutions x = 6 and x = negative 6 are extraneous solutions x = 6 is a true solution and x = negative 6 is an extraneous solution x = 6 is an extraneous solution and x = negative 6 is a true solution
Mathematics
2 answers:
Serggg [28]3 years ago
4 0

Option c: x=6 is a true solution and x=-6 is an extraneous solution.

Explanation:

The equation is 2 \log _{6} x=2

Dividing both sides of the equation by 2, we get,

\frac{2 \log _{6}(x)}{2}=\frac{2}{2}

Simplifying,

\log _{6}(x)=1

Since, we know by the logarithmic definition, if \log _{a}(b)=c, then b=a^{c}

Using this definition, we have,

x=6^{1}

Hence, x=6

Now, let us verify if x=6 is the solution.

Substitute x=6 in the equation 2 \log _{6} x=2 to see whether both sides of the equation are true.

We have,

2 \log _{6}(6)

Using the log rule, \log _{a}(a)=1

We have,

2*1=2

Hence, both sides of the equation are equal.

Thus, x=6 is the true solution.

Lapatulllka [165]3 years ago
3 0

Answer:

C is the answer i got it correct

Step-by-step explanation:

You might be interested in
Can someone plz answer this correctly and quickly.
rosijanka [135]
V = \pi \pir^{2}h

1. Find the radius. 

8/2 = 4

2. Square the radius.

4^{2} = 16

3. Multiply that by pi.

3.14 * 16 = 50.24

4. Multiply that by the height.

50.24 * 20 = 1004.8

5. Now find 60% of that.

1004.8 * 0.6 = 602.88

V = 602.88 m^{3}

Honestly, it's been a while since I've done this, but I believe this is the answer.
7 0
3 years ago
The function f(x) is given by the set of ordered pairs.
Lana71 [14]

The equation that is true and one that matches the set of ordered pairs of functions is option C. f (0) = 6

<h3>What is the equation about?</h3>

Note that a function can be made to be a given set of ordered pairs such as the ordered pairs (2,4), (3,5), (4,6)  can have  input functions of ​​(as domain) 2,3,4 and output functions of ​​(as range) of 4,5,6.

So when you see the ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)} one can see that the option that matches to the set of ordered pairs of functions above is f (0) = 6 value x = 0, f (x) = y = 6, ordered pairs (0.6)

See full question below

The function f (x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)}:Which equation is true?

f(-10)=1

f(2)=-10

f(0)=6

f(1)=-10

The answer choices are :

f (-10) = 1 values ​​x = -10, f (x) = y = 1, ordered pairs (-10,1)

f (2) = - 10 values ​​x = 2, f (x) = y = -10, ordered pairs (2, -10)

f (0) = 6 value x = 0, f (x) = y = 6, ordered pairs (0.6)

f (1) = - 10 values ​​x = 1, f (x) = y = -10, ordered pairs (1, -10)

Learn more about ordered pairs from

brainly.com/question/6200217

3SPJ1

8 0
2 years ago
A cost regularly priced at $188 is on sale for 25% off . What is the sale price ?
Brums [2.3K]
You need to multiply 188 by 25%. But first convert 25% to a decimal 0.25.
188*0.25 is 47
Now we subtract 188 - 47
Which is 141
$141 is the sales price.
5 0
3 years ago
Read 2 more answers
Help please I don’t get this
Bess [88]

Answer:

y = -2x - 1

Step-by-step explanation:

Formula is y = mx + b

m = slope

slope = change in y/change in x = (-1 - 3) / (0 - -2) = -4/2 = -2

So equation is now y = -2x + b

To find b, substitute any value from the table into the equation. Let's use (-2,3)

y = -2x + b

3 = -2(-2) + b

3 = 4 + b

-1 = b

So equation is y = -2x - 1

3 0
3 years ago
Read 2 more answers
Can someone pls help
Cloud [144]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ASAP I WILL GIVE U BRAINLIEST
    9·2 answers
  • <img src="https://tex.z-dn.net/?f=v%3D%20%5Cpi%20%2F3%20r%5E2h" id="TexFormula1" title="v= \pi /3 r^2h" alt="v= \pi /3 r^2h" ali
    8·1 answer
  • a car dealer is caculating the list price for a used car. the dealer takes the initial price of 5the car and adds $259 dollars f
    12·1 answer
  • You have been offered a job and have two salary options from which to choose. You can be paid $500 a week plus 2% of all weekly
    7·1 answer
  • Which could be the area of the face of the rectangular prism
    12·2 answers
  • A guy wire makes a 67° angle with the ground. Walking out 32 feet further from the tower, the angle of elevation to the top of t
    5·1 answer
  • You wish to take flying lessons. The introductory course cost $125 per session and will include 12 lessons. Smith Flying Academy
    6·1 answer
  • Which of the following is the equation for the graph shown?
    9·1 answer
  • Can you help me with all those problems please
    10·1 answer
  • Find two numbers who have a sum of 21 and a product of 104.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!