Condense the logarithm

2 log c + 3 log k​

Answers

Answer 1

Given:

The expression is

[tex]2\log c+3\log k[/tex]

To find:

The value after condense the logarithm.

Solution:

We have,

[tex]2\log c+3\log k[/tex]

Using properties of logarithm, we get

[tex]=\log c^2+\log k^3[/tex]            [tex][\because \log x^n=n\log x][/tex]

[tex]=\log (c^2k^3)[/tex]            [tex][\because \log (ab)=\log a+\log b][/tex]

Therefore, the required value is [tex]\log (c^2k^3)[/tex].


Related Questions

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Answers

Answer:

x=10

Step-by-step explanation:

it is saying x-2 multiplied by 5=40

5(x-2)=40

5x-10=40

5x=50

x=10

Answer:

8

Step-by-step explanation:

$8

Find the angle of this sector.
6 cm
NEED ASAP
5 cm

Answers

Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

What is the value of y

Answers

I did something like this but I forgot:(

Question 2
Find the slope given the points:
(0, -2) and (1,1)

Answers

Answer:

Step-by-step explanation:

Slope=(y-y)/(x-x)=3/1=3

It cost $19.50 for 3 t-shirts.what is the cost of 4 -t shirts

Answers

Answer:

i am pretty positive the answer is 26 :)

Answer:
$26

Explanation:
You divide the cost ($19.50) and the shirts (3) to get how much it costs per-shirt ($6.50) then you multiply the cost per shirt ($6.50) by the amount of new t-shirts (4) to get the answer ($26)

brianna caught 4 fish . gabi caught 8 times as many fish as brianna. which expression shows how many fish gabi caught

Answers

Answer:

multiplication

Step-by-step explanation:

brianna=4

gabi=8 x brianna

In the top view of the square gem below, TW is the
midsegment of trapezoid SUVX.
Given that UV=10 and SX=6, find TW.
If necessary, round to one decimal place.
V
S
R

Answers

7/v s r so I believe

Determine the number of acute, obtuse, and right angles in the shape above. cute angles.​

Answers

Answer:

2 acute 1 obtuse 1 right

Step-by-step explanation:

Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let x represent the number of $1 increases in the price of the T-shirts.

Answers

Answer:

(205-9x) times15

Step-by-step explanation:

The expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.

The expression will be written as,

E = (205-9x)15.

Therefore, the expression the total monthly revenue of Theodore and Sarah's business is  (205-9x)15.

To know more about an expression follow

https://brainly.com/question/25968875

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Sachi takes 10 rounds of a rectangular park, 50 m long and 20 m wide. Find the total distance covered by him.

Answers

Answer:

700 meters

Step-by-step explanation:

Cora opened a coffee shop. She plans to buy some tables that seat exactly 2 people and one large table that can seat 8 people. Due to the size of her shop, she can seat no more than 40 people at a time. Find the number of total tables Cora can fit into her coffee shop. Select all that apply.
a) 17
b) 16
c) 18

Answers

The answer would be 16 right?

The number of total tables Cora can fit into her coffee shop is 16.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We have,

Cora plans to buy some tables that seat exactly 2 people and one large table that can seat 8 people.

The capacity of shop is 40 people.

So, the number of total tables Cora can fit into her coffee shop is

= 8 x 2

= 16

Learn more about Combination here:

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It’s this one and I’m done

Answers

Answer:

168 in

Step-by-step explanation:

Pythagoras says:

b² + 56² = 70²

so

b² = 70² - 56²

b = √1764 = 42

so the perimeter is 70+56+42 = 168

Find the slope of (-2, 5) & (2, 13)

HELPPPOO

Answers

Answer:

The slope is 2.

Step-by-step explanation:

DIVIDE 13-5/2+2

That gives you 8/4 which equals 2.

Help me please... I have a lot more things to do and I wanna get this done.

Answers

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

5/8^3+9-1/4^3= I really need help!!!

Answers

Answer: 3/8q^3 + 9

Step-by-step explanation:

1. combine like terms 5/8q^3 - 1/4q^3, need to make denominator the same to subtract so multiply 2/2 by 1/4q^3, 5/8q^3 - 2/8q^3 = 3/8q^3

2. final answer is : 3/8q^3 + 9

Which number would make this number sentence true? (3 + 2) x ? = 5 x 8

Answers

Answer:

8

Step-by-step explanation:

3+2=5

5 x 8 = 5 x 8

Answer:

8

Step-by-step explanation:

2 numbers are in perenticies so do them first 3+2 = 5 Then wait dont do nothing with that do 5x8 to get what to need to get 5 x? to witch is

40 so 8 would be the correct answer

consider the following word problem. What operation might we include if we were to create an expression? We bought 2 bags of takis for each child, z, and then gave away 1 bag of takis to a teacher

Answers

Answer:

2z-1 it think. jdjdjdjdjdjjdjd

Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

708

Step-by-step explanation:

Answer

1.7/5

1

bhagyashreechowdhury

Ace

2.4K answers

4.9M people helped

Given:

The cost of the T.V. for Colin = £ 800.

The rate of depreciation per year = 4%

Time period = 3 years

To find:

How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.

Solution:

To solve the above-given problem, we will use the following formula:

where

A = the final value after depreciation

P = the present value

R = rate of depreciation

n = time period

Now, on substituting the given values in the formula, we get

we will round the above answer to its nearest penny where appropriate

≈ £ 708

Thus, the worth of the t.v. in 3 years will be £ 708.

Please help. I don't understand this.​

Answers

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

How many kilograms are there in 8 pounds? Hint: 1 lb ≈ 0.454 kg Round your answer to the nearest tenth.

Answers

It would be 4 kg. Explanation: Bc each kg is .5 when rounded so u take .5 and multiply it by 8lbs

Frank’s Sports store has a 20% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?

Answers

Answer:

if they are asking how much the percentage is in money here is how you do it: 20x25 divided by 100

20%-----5$

If they ask how much the baseball glove would cost after the discount, it would be

25-5

so the total would be after the discount: 20$

Step-by-step explanation:

Three times a number increased by 8 is no more than the number 32. Find the possible answers.

Answers

Answer:

3n + 8 ≤ 32

Step-by-step explanation:

You multiply the 3 and the n together then add the 8 and it can't be more than 32 but it can be equal to 32

5.02 Which equation does the graph below represents?

1. y = -1/2x
2. y = -2x
3. y = 1/2x
4. y = 2x

Answers

y= 2x because it’s 8/4 which can be divided by 4 and it equals 2x

Answer:

2. y= -2x

Step-by-step explanation:

When the line is on an exact point like it is on (-4, 8), we can simplify it by going rise/run

Rise is the same as y (8), and your run is x (-4)

When you divide 8/-4, your answer will be -2

Therefore, the answer is y= -2x

Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?

Answers

the table would be $233.75

A bicycle was priced at $400. Later the price was reduced by 20%. What is the price after the reduction?

Answers

Answer:

320

Step-by-step explanation:

400*80/100=320

Answer:

$320 is the final price, $80 is the amount taken off

How much will it cost someone to finish these 37 problems showing work for every problem. The answers are there but I need to show work. On a lined paper.

Answers

answer:

you mean money? then i would take like 10-15 dollars, cause that is a LOT of work.

Which two represent 10 cube? *

Answers

Answer:

5 cube and 5 cube = 10 cube..??

Step-by-step explanation: ok so can i have brainiest plaease::)

Find the perimeter of the image below: (4 points)


a. 37 units
b. 38 units
c. 39 units
d. 40 units

Answers

Answer:

The correct answer is 39 units.

Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula:

d =

Each vertex in the polygon has its corresponding points:

P (-2,11)

T (8, 7)

S (1, 7)

R (2, 0)

Q (-4,5)

So to get the length of side PT, we use the distance formula and the vertices of side PT:

P  = (-2, 11)

T  = (8, 7)

The length of PT is

The same procedure is done for the other 4 sides and the following are the answers:

TS =

SR =

RQ =

QP =

And by adding all the sides, you get the perimeter:

By rounding off, the answer is 39 units.

Step-by-step explanation:

it would be 39 units i’m almost positive

Someone help pleaseee I’m failing ..

Answers

Answer:

B

Step-by-step explanation:

sorry, I already commented about this because i couldnt find the answer button lol sorry, anyways I used a debt calculator to work it out

pls anwer fast is due in 5min

Answers

Answer:

Taking my points

Step-by-step explanation:

You spammed my own question

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