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

Leah leaves school to go home. She walks 5 blocks north and then 8 blocks west. How far is Leah from the school?

Answers

Answer:

13 Blocks Away From School

Step-by-step explanation:

5 + 8 Is 13

Answer: 13 blocks from school

Step-by-step explanation:

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form

Answers

Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

Brainliest for the correct answer!

Answers

Step-by-step explanation:

(4z +9) + ( 9y - 2) =180

4z + 9y = 173 ....... Equation 1

The angles of triangle = 180

We miss one angle and in opposite of that angle is 135 so

( 5y +5 +4z +9)+135 = 180

5y + 4z + 149 = 180

5y + 4z = 31 ....... Equation 2

Subtract between two equations 1 & 2

4y = 142

y = 142/4

y = 35.5

HELP ASAP!!!!!!!!!!!!

Answers

Answer:

It would be the second one, angle A would equal angle F

Step-by-step explanation:

They are both in the same position. A is the first one in the sequence ABC and F is the first one in the sequence FED

What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours

Answers

Answer:  $50

Step-by-step explanation:  Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)

It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.

Which of the following statements is false?
8<8
2>8
2<8
2<8

Answers

Answer:

8<8 and 2>8 are both false

Answer:

B

Step-by-step explanation:

A washing machine uses 40 gallons of water to wash 5 loads of laundry. The amount of water used varies directly with the number of loads of laundry. How many gallons of water would be used to wash 12 loads

Answers

Divide 40 by 5 to give you your gallons per load. Then multiply this result by 12 to get how many gallons you would use.
Mathematically:
40gal/5loads = 8gal/load
12loads x 8gal/load = 96gal

I need help Finding the perimeter of a towel that measures 2 feet by 34 foot

Answers

Answer:

72 feet

Step-by-step explanation:

multiply 34 by 2 (because there is 2 sides), and multiply 2 by 2 (because there is 2 sides), and you'll get 68 and 4. add them together, and you'll get 72.

What is the area of this figure? Enter your answer in the box. cm2​

Answers

Answer:

35 cm²

Step-by-step explanation:

Area of the bottom part (the square) is:

5*5 = 25 cm²

Area of the top part (the triangle) is:

1/2*5*4 = 10 cm²

Total area is:

25 + 10 = 35 cm²

Answer:

The area of this figure is 35 cm².

Step-by-step explanation:

Area of the square part (lower part)= 5²=25cm²Area of the triangular part (upper part)=1/2×4×5=10cm²Total Area= (Area of the square+Area of the triangle) =(10cm²+25cm²)=35cm²

Convert the following equation to Slope-Intercept Form
HINT: Slope-Intercept Form is y = mx + b
y+1 = -5(x – 3)

Answers

Y=-5x+14............... mark as brainpower if right lol
answer

y=-5x-16

explanation

you distribute-5 and get -5x-15 then you subtract 1 to both sides

PLEASE HELP!!! THIS IS MY LAST QUESTION!! PLEASE(show work)

Answers

Answer:

sign = negative, degree = 5

Step-by-step explanation:

The graph has negative leading coefficient as

x → ∞, y → - ∞

It is of the odd degree, and the degree is most probably 5

NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER

Answers

4,20

i think that the answer

1+ 2/5 × 4/5 ÷ 1/2( these are fractions btw)

Answers

ANSWER : 41/25 or in simplest form 1 16/25 . it could also be 1.64 in decimal form .

Answer:

41/25 or 1  16/25

Step-by-step explanation:

1 + 2/5 x 4/5 ÷ 1/2

do multiplication first

2/5 x 4/5 = 8/15

1 + 8/25 ÷ 1 /2

do division by multiplying by the reciprocal

1 + 8/25 x 2/1

1 + 16/25 = 1  16/25

What is 5 times 10 pls help me

Answers

50 because if you add 10 five times you get 50

Answer:

50

Step-by-step explanation:

something called a calculator

*inhale* AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

Answers

Answer:

ANSWER IS CAUSE ONES A NEG AND ONES A POSITIVE HAPPY TO HELP

Step-by-step explanation:

Please help me. Solve by using substitution.

Answers

Answer:

y=-3x+3..........(1)

6x+2y=6

putting value of y

6x+2(-3x+3)=6

6x-6x+6=6

o=0

sorry I do not get answer

Answer:

x=1, y=0

Step-by-step explanation:

amy has 24 dolls, 18 of her dolls have blond hair and the rest have black what is the ratio of the number of dolls that have black hair to the number of dolls that have blond haie

Answers

Answer: 6 : 24 is for black haired and 18 : 24 is for blond

Step-by-step explanation:

18 : 24

24 - 18 = # of black haired dolls

6 = # of black haired dolls

Ratio

6 : 24

Winston has $200. He spends 20% of his money on a pair of shoes. how much money did he spend on the pairs of shoes?

Answers

Answer:

$40

Step-by-step explanation:

200 - 20% = 160

200 - 160 = 40

Answer:

40 dollas!!!! if your on k12 anything its 40

Step-by-step explanation:

answer choices
A. -4
B. 5.8
C.4
D.8​

Answers

Answer:

the answer is C (4)

does anybody know this ?

Answers

Answer:

37 degrees

Step-by-step explanation:

First, solve for the angle beside 152 degrees. Subtract 180 to 152 and you get 28 degrees. Next, we add 28 degrees to 115 degrees, which is 143 degrees. After, we subtract 143 from 180 (since the total angle of a triangle is 180) and we arrive at 37 degrees.

Justin can replace three windows in an 8 hour day. How many hours will he need to replace 20 windows on a house

Answers

it would take him 50 hours

convert 0.11 to a percentage

NEED TO BE ANSWERED ASAP
I will award them the brainliest ​

Answers

Answer:

11%

Step-by-step explanation:

0.11*100=11%

necause 1%=1/100

11% = 0.11 :) hope this helps

reduce to the simplest form[tex]\frac{286}{858}[/tex]

Answers

Answer:

143 over 428

Step-by-step explanation:

a triangle has side length of 10 inches, 24 inches, and 26 inches. Is the triangle a right triangle

Answers

Answer:

yes!

Step-by-step explanation:

one side is longer than the other then the 10 inch line is used to connect them!

(hope this helps)

Two people compete in a five-mile go kart race. Person A travels 1/10 miles every 15 seconds while Person B travels 3/8 mile every 48 seconds. Who wins the race? What is the difference of the finish times of the competitors?

Answers

Answer:

a) Person B wins the race.

b) The difference in the finish times of the competitors is 110 s.

Step-by-step explanation:

a) We can find the time that takes Person A and B to finish the race:

Person A:

[tex] t_{F_{A}} = \frac{t_{A}}{d_{A}}*d_{T} [/tex]

Where:

[tex]t_{A}[/tex]: is the time of Person A = 15 s [/tex]

[tex]d_{A}[/tex]: is the distance of Person A = 1/10 miles [/tex]

[tex]d_{T}[/tex]: is the total distance = 5 miles [/tex]

[tex] t_{F_{A}} = \frac{15 s}{1/10 miles}*5 miles = 750 s [/tex]

Person B:

[tex] t_{F_{B}} = \frac{t_{B}}{d_{B}}*d_{T} = \frac{48 s}{3/8 miles}*5 miles = 640 s [/tex]

Hence, Person B wins the race.        

                                 

b) The difference in the finish times is:

[tex] t_{F_{A}} - t_{F_{B}} = 750 s - 640 s = 110 s [/tex]

Therefore, the difference in the finish times of the competitors is 110 s.

I hope it helps you!                                

NEED THE ANSWER NOWWWWW!!!!!!!!!!!
Graph the following features: Slope = -3 Y-intercept = 4

Answers

Answer:

Step-by-step explanation:

Use Desmos. Y-intercept is 4 so start from there (place a point on (0,4)). From the y-intercept use the slope. -3 technically means three down and one to the right.

y-intercept form --> y= -3x + 4

The employees van assemble 1,576 cell phones in 8 hours.
If these employees continue to work at the same rate,how many cell phones will they assemble in 53hours?
A - 12,608
B - 10,441
C - 83,528
D - 70,920

Answers

Answer:

10,441

Step-by-step explanation:

1576/8=197

197x8=10,441

4, 6, 2, 6, 9, 3, 5
Mode ??
Median ?? Mean??

Answers

Mean: 5
Mode: 6
Median : 5

explanation ;)

MEAN - add all the numbers = 4+6+2+6+9+3+5 =42

then you count have many numbers you got 7

after that you divided 7/42 = 6 that the mean or something call average:)

MEDIA - to find out was the meaning is you first make in order like youngest to oldest 2, 3, 4, 5, 6, 6, 9 and circle what numbers is on the middle that is 5.

listen if there even amounts of numbers you just circle the two numbers in the middle then add does two numbers and divide dy 2 ONLY IF IS EVEN

MODE- look for the two numbers they are the same 6

and that's the mode

6,5,6

2cos(2x)=6sinx+1
Simplify

Answers

Answer:

x=0.15197212 +2 pie n, 9.27280583 + 2 pie n for any integer n.

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