Write the expression 2 in3 + in8 as a single natural logarithm.

Answers

Answer 1

Answer:

[tex]2\ln 3+\ln 8=\ln 72[/tex]

Step-by-step explanation:

Logarithms

Some properties of the logarithms are:

[tex]\ln xy = \ln x+\ln y[/tex]

[tex]\ln x^n=n\ln x[/tex]

We have:

[tex]2\ln 3+\ln 8[/tex]

Applying the exponent property:

[tex]2\ln 3+\ln 8=\ln 3^2+\ln 8=\ln 9+\ln 8[/tex]

Applying the product property:

[tex]2\ln 3+\ln 8=\ln (9*8)=\ln 72[/tex]

[tex]\boxed{2\ln 3+\ln 8=\ln 72}[/tex]


Related Questions

a rectangular field has as dimensions 49 m and 36 m calculate the length of the side of square having the same area as the fieldI want the solution

Answers

Answer:

length =25m

breadth =16m

area of rectangle =25*16

according to question

area of rectangle =Area of Square

Area of squre =400m

Side *Side =400m

(Side)=(20m)

Side =20m

-33 is greater than x .​

Answers

The format would be “-33>x”

Answer:

-33>x

Step-by-step explanation:

y - 7.74 = 9.1
solve for y

Answers

Add 7.74 to both sides and then it will be y=16.84

ANSWER y=16.84

Answer:

y = 16.84

Step-by-step explanation:

y - 7.74 = 9.1

=> y = 9.1 + 7.74

=> y = 16.84

Will give brainliest if your answer isn't random, i really need help with this

Answers

Answer:

Linear, y=6x-21

Step-by-step explanation:

Graph the answer to get an idea of the shape: linear.

Use y=mx+b and m=y2-y1/x2-x1 to find formula

m=y2-y1/x2-x1=3-(-9)/4-2=12/2=6

y=6x+b

9=6(5)+b

9-30=b=-21

y=6x-21

Help me with number 2

Answers

The right answer is d

HELP ME FIND THE MEASURES OF THESE ANGLES PLEASE!!!!!!!!!!!!!!!!!!!!!

Answers

1: 121, 2: 59, 3: 59

This is for the first graph because if you look at the bottom half of a circle is 180 so since one is 121 you just have to subtract 121 from 180 and you have your answer

Add a grocery store bananas cost $.90 each and oranges cost $.80 each Ava has $15 to spend if Ava wants to buy an equal amount of bananas and oranges at most how many of each can't you buy

Answers

Answer:

9

Step-by-step explanation:

We are given that

Cost of each banana=$0.90

Cost of each orange=$0.80

Ava have total money=$15

We have to find the number of each if Ava wants to buy an equal amount of bananas and oranges at most.

Let x be the number of each.

According to question

[tex]0.9x+0.8x=15[/tex]

[tex]1.7x=15[/tex]

[tex]x=\frac{15}{1.7}[/tex]

[tex]x=8.8\approx 9[/tex]

[tex]x=9(approximately)[/tex]

Hence, number of banana bought=9

Number of oranges bought=9

Are 25 milligrams lighter or heavier than 25 centigrams
Please help it's for homework and it says explain too so please help

Answers

Answer:

25 mg. is lighter than 25 cg.

Step-by-step explanation:

Well,

The prefix "milli" means thousandth and the prefix "centi" means hundredth.  So a milligram will be one-tenth of a centigram.

10 mg. = 1 cg.

25 mg. = 2.5 cg.

2.5 cg. < 25 cg.

25 mg. is lighter than 25 cg.

Answer:

25 milligrams are lighter, because 1 milligram equivales to 1 gram multiplied by 100.

Step-by-step explanation:

80 students each study one of three languages. 31 study french. 28 study German. 21 study Spanish. One student is to picked at random Write down the probability that the student picked french

Answers

Answer:

if it random then I think that the student prob. is 1/3 because there are three options

Step-by-step explanation:

please help quickly. thanks in advance​

Answers

Answer:

a. sin 30* = sin 150*

b. sin 1* = sin 179*

a. cos 340* = cos 20*

b. cos 260* = cos 100*

Step-by-step explanation:

sine is symmetrical around x = 90*

cosine is symmetrical around x = 180*

* means degree sign of course.

A teacher asks each student in the class to randomly choose a number between 1 and 80 and write it down. Devon and Michiko write down a number. What is the probability that both of their choices will be greater than 60? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.

0.063
0.06
0.938
0.25

Answers

Answer:

0.063

is the correct answer

Answer:

0.063

Step-by-step explanation:

Two​ trains, Train A and Train​ B, weigh a total of 443 tons. Train A is heavier than Train B. The difference of their weights is 279 tons. What is the weight of each​ train?

Answers

Answer:

164

Step-by-step explanation:

443-279

=164

Answer:

443 - 279 = 164

Step-by-step explanation:

so train A should be 279 pounds

and train B should be 164 pounds

So sorry i might be wrong i tried my best

Find the slope: (-2,5) and (2,1

Answers

-1,4 I think so, good luck

Pythagorean theorem - please help

Answers

answer:

x = 4[tex]\sqrt{2}[/tex] or 5.6568

step-by-step explanation:

know the formula and plug in

formula: a^2 + b^2 = c^2

now plug in what we havewhatever the RIGHT ANGLE points to is the HYPOTENUSE or cthe other two sides are the "legs" or a and b

a^2 + b^2 = c^2

7^2 + b^2 = 9^2

49 + b^2 = 81

b^2 = 32

b = 4[tex]\sqrt{2}[/tex]

in this case, b would be used as x

x = 4[tex]\sqrt{2}[/tex] or 5.6568 (exact value)

Which expression is equivalent to 5x +10y-15?
A. 5(x-2y-3
B. 5(x5y-10
C. 5(x+2y-3
D. 5(x2y-15

Answers

Answer:

C

Step-by-step explanation:

Answer:

its   a hehehehehehhehehe\

Step-by-step explanation:

I need help with numbers 17 and 11. worksheet down below :) thank you. I'm using all my points so let this be the time I use my points wisely.
(sry I dont have a lot of points. I only have 20)

Answers

Answer:

12-8+3 for the numerical and 2x=3y-6 for the algebraic expression

Step-by-step explanation

Numerical expression consists of numbers and one operation

Algebraic expression consist of multiple varaibles  and constents

Answer:

numerical expression: 5+20-9= 16

algebraic expression: 6p +18

Samantha used four balls of yarn to knit a doll blanket. Now she wants to knit a similar blanket that is three times as long and three times as wide. How many balls of yarn will she need to complete the larger blanket?

Answers

Answer:

36

Step-by-step explanation:

She kniited a blanket with a certain area with 4 balls.

The new blanket will 3x3 =9 times as much area, so 9 x4 = 36 balls of yarn

The table below displays data that Stacy collected. What type of association exist between the data

Answers

Step-by-step explanation:

-2/3. for every 3 it increase it goes down by 2

You have $20 and earn $0.75 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j​ cups of orange juice.

Answers

Answer:

A= 20 + 0.75*j

Step-by-step explanation:

Giving the following information:

You have $20 and earn $0.75 for each cup of orange juice you sell.

To calculate the total amount of dollars (A), we need to use the following formula:

A= 20 + 0.75*j

j= number of cups

For example, for 15 cups:

A= 20 + 0.75*15

A= $31.25

Hola, ayudenme a hacer esto por fa, doy muchos puntos u,u

Answers

Answer: Hi, help me do this by fa, I give a lot of points u,u

Step-by-step explanation:

Answer:

de donde viene la hoja asi la investigo y te digo las respuestas :)

Step-by-step explanation:

In a packet of 40 skittles , 30% are red . How many skittles are not red ?

Answers

Answer:

28

Step-by-step explanation:

hope i helped you!!!

Answer:

28 skittles are not red

Step-by-step explanation:

t - 7 for t= 20
it’s for math

Answers

Answer:

20-7=13

Step-by-step explanation:

If t is 20 then you just do 20-7

Answer:

t-7=13

Step-by-step explanation:

If t =20 then your equation is 20-7.

The number of red marbles in a jar is 3
times the number of blue marbles.
There are 27
red marbles and b
blue marbles. Write an equation to represent this situation. How many blue marbles are there?

Answers

Answer:

Bx3=27 there are 9 blue marbles

Step-by-step explanation:

An isosceles triangle has two congruent side lengths of 20 centimeters. The base of the triangle is 10 centimeters. Find the height of the
isosceles triangle

(Use the Pythagorean Theorem & DONT GIVE ME THE ANSWER, I JUST WANT THE EQUATION) Thx :)

Answers

Answer:

(half of base)² + (height)² = (20)²

Step-by-step explanation:

In an isosceles triangle, the angle bisector from the 3rd angle to the opposite side is a perpendicular bisector, so you split the isosceles triangle into two congruent right triangles.

This technique of 'splitting the isosceles' is used a LOT.

please, i need help with the spider in the box question

Answers

Answer:

AB=5.39 cm

BC=5 cm

CD=5.83 cm

DE=3.91 cm

A to E=20.13 cm

Step-by-step explanation:

DE^2=2.5^2+3^2

DE^2=6.25+9

DE^2=15.25

DE=3.91

CD^2=3^2+5^2

CD^2=9+25

CD^2=34

CD= 5.83

BC^2=4^2+3^2

BC^2=16+9

BC^2=25

BC=5

AB^2=5^2+2^2

AB^2=25+4

AB^2=29

AB=5.39

5.39+5+5.83+3.91=20.13

how do i figure out prime numbers

Answers

Answer:

You can figure out prime numbers by simply knowing that you can divide that number not more than one. For example, you could know that a prime number is 7 because you can only divide it once like 7 divided by 1. While for number 14, you can divide it twice which isn't a prime number because there is 14 divided by 2 and 14 divided by 1 which is more than one to divide. That's possibly an easy way to understand how to figure them out.

sharon said she spent 5/7 of her clothing allowance on a winter. if she was givan a $70 clothing allowance, how much was the coat​

Answers

Answer:

$50

Step-by-step explanation:

1. First you need to divide 70 by 7.

2. Your answer should be 10.

3. You then need to multiply the product, 10 by 5.

4. You answer should be 50 and because we are using this in a money situation the answer is $50.

Answer:

50

Step-by-step explanation:

WORTH 15 POINTS:
Karl is replacing his concrete driveway with rectangular pavers. Each paver has an area of 4.5 square feet. Karl's driveway is 21 feet long and 18 feet wide. How many pavers will he need?

Answers

Answer:

84

Step-by-step explanation:

To complete the concrete highway with pavers 84 pavers are needed.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

From the given information each Pavel has an area of 4.5 square feet.

And the area of the driveway can be obtained by multiplying the length and width of the driveway which is,

= (21×18) sq feet.

= 378 sq feet.

Therefore, The number of pavers needed is,

= (378/4.5).

= 84 pavers.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ3

20 of the cats at the pet store are white, which is 25% of all of the cats. How many cats are there at the pet store?

Answers

Answer:

the

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

25%X4=100%

20X4=80

Find the distance between C(-5,4) and Q(2,0)

Answers

9514 1404 393

Answer:

  √65 ≈ 8.06

Step-by-step explanation:

The distance formula is used for the purpose.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2 -(-5))² +(0 -4)²) = √(7² +(-4)²) = √(49 +16)

  d = √65 ≈ 8.0622577

The distance between C and Q is √65, about 8.06 units.

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