Solve the simultaneous equation
Log(x-1)+2 log y=2 log 3
Log x + log y = log 6

Answers

Answer 1

Answer:

x = 2, y = 3

Step-by-step explanation:

Log x + log y = log 6         Log xy = Log 6            xy = 6

y = 6/x

Log(x-1)+2 Log y=2 Log 3

Log(x-1) = 2 Log 3 - 2 Log y = Log 3² - Log y² = Log 9 - Log y² = Log (9 / y²)

x - 1 = 9/y²

x - 1 = 9 / (6/x)² = 9 /(36/x²) = x²/4

4x - 4 = x²

x² -4x + 4 = 0

(x-2)² = 0

x = 2

y = 6/x = 3


Related Questions

please help me this is for a grade

Answers

Answer:

A, B, and D are congruent

Step-by-step explanation:

Answers a b d are all congruent

Consider these three squares with known area.


3 squares. The smallest square is labeled 25, the next square is 144, and the largest square is 169.


Can a right triangle be formed using these squares?

Yes, the sum of the two smaller squares does not equal the largest square.

Correct ---- > Yes, the sum of the two smaller squares equals the largest square.

No, the sum of the two smaller squares does not equal the largest square.

No, the sum of the two smaller squares equals the largest square.

Answers

Answer:

512

Step-by-step explanation:i think so

Answer:

The second one

Step-by-step explanation:

I got it right

Tyler’s brother earns $15 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour? i really need help

Answers

Answer:

$75per hour

Step-by-step explanation:

15×5=75 jshshhsbw

A pentagon with an apothem 316.6 millimeters long and a side 460 millimeters long. Find the perimeter and area

Answers

How to find can u send the pic of this question

Suppose you are asked to find the missing vertex of a rectangle in a coordinate plane. What information will help you determine the missing coordinate?

Answers

The distance of the other points from each other. Since each pair of sides are the same, you can use them to find the fourth vertex

The information to determine the missing coordinates is given below.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given;

A rectangle is drawn in the coordinate plane.

That means, each vertex has coordinates.

To find the missing vertex of a rectangle in a coordinate plane:

We should have the three known vertices.

Then use the formula,

w = t + v - u for each of the coordinates.

Therefore, the information to determine the missing coordinates is given above.

To learn more about the coordinates;

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Kayla is pricing whole wheat flour.

A 5-pound bag at Bargain Mart costs $6.45.
A 2-pound bag at Food Saver costs $2.50.
A 7-pound bag at Grocery Surplus costs $9.45
A 10-pound bag at Economart costs $12.89. ​
​The shop with which sells flour for the lowest unit price is

Answers

Answer:

Food Saver

Step-by-step explanation:

6.45 ÷ 5 = 1.29

2.50 ÷ 2 = 1.25

9.45 ÷ 7 = 1.35

12.89 ÷ 10 = 1.289

Food Saver sells for $1.25 per pound, which is the lowest.

Answer:

Food Saver

Step-by-step explanation:

Bargain Mart:   6.45/5 = $1.29/lb

Food Saver:   2.50/2 = $1.25/lb

Grocery Surplus:  9.45/7 = $1.35/lb

Economart:   12.89/10 = $1.29/lb

A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x

Answers

Question:

A population of insects, in thousands, can be modeled using the function

[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best

describes the population of insects?

A. The population is decaying at a rate of 3% each month.

B. The population is decaying at a rate of 25% each month.

C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

Answer:

A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

[tex]p(t) = 1.75(0.97)^t[/tex]

Required

True statement about the function

From the options, we can see that we are to answer the question on the basis of decay and growing rates.

An exponential form is:

[tex]y=ab^x[/tex]

Compare to [tex]p(t) = 1.75(0.97)^t[/tex]

[tex]b= 0.97\\[/tex]

If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate

else, [tex]b= 1-r[/tex] r represents decay rate

Since b < 0.97:

[tex]0.97= 1-r[/tex]

[tex]r = 1 - 0.97[/tex]

[tex]r = 0.03[/tex]

[tex]r = 3\%[/tex]

[tex]r = 0.03[/tex]

What is the fifth exterior angle measure?

Answers

Answer:

50

Step-by-step explanation:

Adds up to 360 degrees

i am rubbish plz help will mark brainiest for whoever gets it right

Answers

I believe 23 cars are silver

Answer:

23 cars are silver!

Step-by-step explanation:

A florist creates 46 floral arrangements every 3 days. How many floral arrangements will the florist create in 3 weeks?

Answers

Answer:

322

Step-by-step explanation:

help me plssss lsss i really need help today like today today

Answers

Answer:

1. Reflection across the x-axis:

  1) (-2,-2)

  2) (-1,-4)

  3) (3,-4)

2. Reflect across the y-acis:

  1) (-1,-3)

  2) (-2,1)

  3) (-4,1)

Brainiest PLZZZ

What is the value of v?
(This is 7th-grade math btw)

Answers

Answer:

Step-by-step explanation:

v = 40° ( being vertically opposite angles )

40 because they have to sum up to 180 degrees

I really need to get this done quick.
The surfboard is 14 inches taller than the person.
Write and solve an equation to determine how tall is the person?

Answers

h + 14 = 82
Subtract 14 from both sides.
h = 68 inches (height of the person)

I need help with this one and other question that I put

Answers

c should be your answer

which term is a perfect square of the root 3x4?

Answers

Answer:

4

Step-by-step explanation:

Answer:

9x^8

Step-by-step explanation:

good luck

In a map, 8 cm represent 2km. Write the scale of the map.​

Answers

Answer:

1:25000

Step-by-step explanation:

2km    =2000m    =200000cm

200000/8=25000

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

a. What is the area of the room in square feet?

_square feet

b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in

decimal form to the nearest hundredth.

c. What is the total price for the carpeting? _

d. This room is well insulated and is on the south side of the house. It has an

require? Write the exact.

_BTUS

foot high ceiling. How large an air conditioner would this room

Answers

Answer:

a. 270 square feet

b. 3.75 inches by 4.5 inches

c. $10,260

Step-by-step explanation:

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

a. What is the area of the room in square feet?

Area of a rectangular room = Length × Width

Length = 15 feet

Width = 18 feet

Area of the room = 15 feet × 18 feet

= 270 square feet

b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.

From the above question:

1/4 inch = 1 foot

Length = 15 feet

Hence:

1 foot = 1/4 inch

15 feet = x inch

Cross Multiply

x = 15 × 1/4 inch

x = 3.75 inches

For the Width = 18 feet

Hence:

1 foot = 1/4 inch

18 feet = x inch

Cross Multiply

x = 18 × 1/4 inch

x = 4.5 inches

Therefore, the dimensions of the room in inches is

3.75 inches by 4.5 inches

c. What is the total price for the carpeting? _

From the above question, we know that: A square foot of carpet is sold for $38

The area of the room is 270 square feet

Hence:

1 ft² = $38

270 ft² = $x

Cross Multiply

1ft² × $x = 270 ft² × $38

$x = 270 ft² × $38/ 1 ft²

$x = $10,260

Therefore, the total price for the carpeting of the room is $10,260.

In a​ survey, 250 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 4 .

Answers

Answer:

the theoretical probability would be 20%, the experimental probability, i would need to see the table for.

good luck, i hope this helps :)

This is giving me hard time someone help ASAP. I really need it because I been trying to solve it and cant

Answers

I can’t see the picture I am sorry

x^2 - 10x + 24 = 024

Answers

Answer:

x=0,10

Step-by-step explanation:

What is 16% of 80?
PLEASE DO NOT SOLVE, I KNOW THE ANSWER IS 12.8. JUST WRITE A PROPORTION ON HOW YOU GET THE ANSWER

Answers

Answer:

12.8

Step-by-step explanation:

(16÷100)×80 = 12.8

To start, you need to move the decimal point over two places to the right, which gives you 0.16. You can then multiply 0.16 by 80, which gives you 12.8.

468 raffle tickets for 52
people

What’s the answer ?

Answers

Answer:

9

Step-by-step explanation:

you divide 468 by 52

468/52 = 9

9

Step-by-step explanation:

468/52 = 9 tickets per person

What is the slope m of the graphed line?
Ny

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) m=0

Step-by-step explanation:

If a sporting goods store has 40 basketballs, 39 baseballs, 24 footballs, 51 hockey pucks, and 16 lacrosse sticks.
Write the following ratio in simplest form.
Lacrosse Sticks to Basketballs

Answers

Answer:

40/16

2/5

Thus the ratio

= 2:5

what is the answer to this​

Answers

Answer:

im going with c anyone else

Step-by-step explanation:

what number can go into 42 and 21

Answers

Answer:

7

Step-by-step explanation:

Answer:

1,3,7,21 all of those are factors of 42 and 21.

They all can go

Step-by-step explanation:

Hope this helps

Jasmine had $120,000 last year. This year she has $50,000

What is the percentage difference?

Answers

50000 is the old value and 120000 is the new value. In this case we have a positive change (increase) of 140 percent because the new value is greater than the old value.

The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

What is percentage?

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The last year value = $120000,

The new value of this year = $50000,

Calculate the percentage by the following formula,

Percentage difference = The new value of this year / The last year's value ×100

Substitute value

Percentage difference = 50000 / 120000 × 100

Percentage difference = 41.6%

Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

To know more about percentages:

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K=39 and j=10 what's k/3 + j

Answers

Answer:

39/3 + 10 = 23

Step-by-step explanation:

I did the math and then reviewed it to make sure it was correct with Chegg

Add the following lengths:
2'5"
+ 4'8"
------------

plsss i'm doing a test i'l give brainliest lolol okay bye ty if u answer ok bye

Answers

Answer:

7'1"

Step-by-step explanation:

6 feet and 13 inches... you take 12 and make another foot and leave the one inch

identify the missing number 41, 48,33,40,62,55,54,?,​

Answers

Answer:

47

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

can I get how you solved it

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