Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.

Answers

Answer 1

Equivalent equations are equations of equal values

The system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

The logarithmic equation is given as:

[tex]\log_4(x^3) = \log_2(2x)[/tex]

Split the above equation as follows:

[tex]y = \log_4(x^3)[/tex]

[tex]y= \log_2(2x)[/tex]

Rewrite [tex]y = \log_4(x^3)[/tex] as:

[tex]y=3\log_4(x)[/tex]

Hence, the system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

Read more about systems of equations at:

https://brainly.com/question/14265399


Related Questions

HELP ME WITH THIS PLEASEEE !

Answers

Answer:

34 i think i got it really wrong but...

Step-by-step explanation:

my Christmas present to you​

Answers

merry Christmas to you!

Simplify using order of
operations.
53 + 28 : 7-1

Answers

Step-by-step explanation:

53 + 28 =81

7-1=6

81:6

÷3 both side

27:2

Lowest form is 27:2

Which list shows the numbers below in order from least to greatest? 5.78,-5.9,58%,-(23)/(4) A -5.9,-(23)/(4),5.78,58%, C -5.9,-(23)/(4),58%,5.78 B -(23)/(4),-5.9,58%,5.78, D 58%,-(23)/(4),5.78,-5.9

Answers

Answer:

D

Step-by-step explanation:

Lesson 3: Revisiting Proportional Relationships

Answers

relationship is going to work out so 72728

Find the value of x.

Answers

Answer:

x = 83°

Step-by-step explanation:

[tex] {x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\ [/tex]

3/2-5/6-2/9
Answer please

Answers

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation: its just the answer lol

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828. If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer. Company A: Using linear regression models from both data sets, she determines that it pays about $14 more. Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more. Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

Answers

Answer:

86 & tends to increase

Step-by-step explanation:

Goodluck :)

Answer:

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Step-by-step explanation:

C/3

Latoya took a taxi home from her best
friends house. The taxi charged an initial
fee of $3 plus an additional $1.75 per mile.
write an expression that represents the
amount of money Latoya will spend on
the taxi after traveling x amount of
hours.

Answers

Answer:

y=1.75x+3

Step-by-step explanation:

Using slope-intercept form, we can use our initial value of 3, plus our 1.75 per mile, or x, since miles are calculated per hour

Answer:

y=1.75x+3

Step-by-step explanation:

Do you mean x amount of miles?  if you do, you would add 3 because 3 is the amount of money that you have to pay no matter how far you go.  You would get 1.75x because the number of miles you travel in the taxi, you would have to multiply that number by 1.75 to get the amount of money you would have to pay in addition to the 3 dollars that you would definitely have to pay.

A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?

Answers

Answer:

324

Step-by-step explanation:

Simplify the difference. (7w2 – 7w – 8) – (5w2 + 2w – 3)

Answers

Answer:

2w2-5w-11 just subtract the second set of numbers from the first but it has to be like terms such as anything that is squared would only be applicable to another term with that is squared. a term is any group of number separated by a plus or a minus but it is not a term if it is separated by a multiplication symbol or a division symbol

Answer:

2w^2 - 9w - 5

Step-by-step explanation:

I got it right in Grandpoint.

How do i Multiply and divide integers? please answer quick if possible ‍♀️

Answers

Answer

To multiply integers, simply multiply the unsigned numbers and place the sign on the product by repeating the above rules.

To divide unsigned integers, we divide the unsigned numeric values and put a minus sign on the result.

d.One rectangle weighs what

Answers

Answer:

the answer is 2

Step-by-step explanation:

because 7 + 2 = 9 then 9+2=11

A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 36 gallons
of water. Which table represents the relationship between the number of minutes and
the number of gallons of water in the pool?
А
B
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
4.
1
1
4
8
2
2
8
12
3
3
12
с
D
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
1
9
9
1
2
18
18
2
3
27
27
3

Answers

Answer:

C

Step-by-step explanation:

36 gallons ÷ 4 minutes = 9 per minute

given that 4 : 6 = 3 : (m+2), find m.

Answers

Answer:

Step-by-step explanation:

pls hurry will mark brainliest pls show
solve the move step equation
- 7x + 8 = 6x - 44

Answers

Answer: The answer is X = 4.

Answer:

x = 4

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 6x and 8 from both sides of the equation:

-7x (-6x) + 8 (-8) = 6x (-6x) - 44 (-8)

-7x - 6x = -44 - 8

-13x = -52

Next, fully isolate the variable, x, by dividing -13 from both sides of the equation:

(-13x)/-13 = (-52)/-13

x = -52/-13 = 4

x = 4 is your answer.

~

Basically find the circumcenter.
the map shows the three most highly populated location of a city, City officials want to build an emergency healthcare cent in a location that sis the same distance from each of the three locations. Find the coordinates of the location the city should use for the emergency healthcare center.

Coordinates:

A(2,14) B(12,14) C(5,0)

Answers

Answer:

(7 , 7.75)

Step-by-step explanation:

help pls again hmmmm​

Answers

Answer:

here is your answer

Step-by-step explanation:

option d.)5³/3³

Please Help! I don't have much time to finish!

Answers

Answer:

............

Step-by-step explanation:

here........

What is the value of the expression below?

(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4

Answers

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

What is the remainder when 3 is
synthetically divided into the polynomial -2x2 + 7x - 9?

A. -6
B. -4
C. 2
D. 0

Answers

The remainder when 3 is synthetically divided into the given polynomial is; Choice A; -6.

What is the remainder when 3 is synthetically divided into the polynomial?

It follows from the task content that the remainder when 3 is synthetically divided into the polynomial is to be determined.

On this note, it follows that the expression evaluation at x = 3 represents the required remainder.

Therefore, we have;

-2 (3)² + 7 (3) - 9

= -18 + 21 - 9

= -27 + 21

= -6

Ultimately, the required remainder when 3 is synthetically divided into the polynomial is; -6.

Therefore, the correct answer choice is; Choice A; -6.

Read more on synthetic division of Polynomials;

https://brainly.com/question/7066192

#SPJ1

please help me asap..

ty :)

Answers

Answer:

x = 3, 0

y = 0, -4

Step-by-step explanation:

What is the slope of the line through (6,0) and (7,1)

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's find the slope of line passing through given points ~

[tex] \sf \dfrac{y2 - y}{x2 - x1} [/tex]

[tex] \sf \dfrac{1 - 0}{7 - 6} [/tex]

[tex] \sf \dfrac{1}{1} [/tex]

[tex] \sf1[/tex]

Hence, slope of the line will be 1.

Answer:

1

Step-by-step explanation:

slope = (change in y)/(change in x)

slope = (1 - 0)/(7 - 6)

slope = 1/1 = 1

Answer: 1

Quick easy question

Answers

Answer:16

Step-by-step explanation:

144^0.5 = 12

400^0.5 = 20

a^2=b^2+c^2

20^2 = 12^2 +x^2

x^2 = 400-144= 256

x =16

Answer:

16

Step-by-step explanation:

what is the tangent ratio of angle x°​

Answers

Answer:

tan x = 3/4

Step-by-step explanation:

The hypotenuse of the triangle is 10 ft.

For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.

tan A = opp/adj

tan x = 6 ft / 8 ft

tan x = 3/4

Tan=opposite/adjacent. Opposite=6, adjacent=8. Tan=6/8. We can divide both terms by 2 to simplify to tan=3/4

Five pipes can fill a tank in 80 minutes. At the same rate, how long will it take 8 pipes to fill the same tank?

Answers

Answer:

50 minutes

Step-by-step explanation:

it takes 80 minutes for 5 pipes

so for 1 pipe it will take 5x80=400min

and for 8 pipes it will take 400/8=50min

han earns $33,00 for babysitting 4 hours. at this rate, how much will he earn if he babysits for 7 hours?

Answers

Answer:

$57.75

Step-by-step explanation:

7×33/4

231/4

57.75

the students at Walden Middle school are selling tins of popcorn to raise money for new uniforms. they sold 42 tins in the first week. how much money did they make in the first weeks

Answers

Answer:

$388.50

Step-by-step explanation:

9.25 *  42  = $388.50

can someone please tell me how to do 2470; 3030; 3320; 4030; 2900; 4120 in stem and leaf diagram?

Answers

Before you start, please make a title for your Stem & Leaf plot.

1) Make two columns; Stem and Leaf.

2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.

3) Under "Leaf":

Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.

4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.

The Key can be any set of numbers you have in your Stem and Leaf plot.

Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17

Answers

Answer: I cannot tell what equations you are talking about.

Step-by-step explanation:

Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.

Answer: B

Step-by-step explanation:

Got it right

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