What is the true solution to l n 20 l n 5 = 2 l n x

Answers

Answer 1

Since the solution cannot be negative hence the true solution to the expression is x = 10

Laws of logarithm

Given the logarithmic expression

ln 20 + ln 5 = 2lnx

In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:

ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2

x^2 =100

x = 10

Since the solution cannot be negative hence the true solution to the expression is x = 10

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Related Questions

what is 6 divided by 2 (1+2)

Pls help meee :)

Answers

6

2(1+2)

equals:
6

2(3)

equals:
6

6

equals: 1

Answer:

its 9

Step-by-step explanation:

6 ÷  2 (1+2)

3x3=9

What is the vaule of the expression when x=3

Answers

Answer:

If x = 3, then,

[tex]8x\\= 8\times(3)\\=\boxed{ 24}[/tex]

Answer:

the answer is 24

Step-by-step explanation:

Expression is given: 8x

x= 3

∴ 8*3= 24

So 24 is the answer. Hope it helps!!

The body of water that lies to the south of Europe is __________. A. the Atlantic Ocean B. the Baltic Sea C. the Mediterranean Sea D. the Pacific Ocean Please select the best answer from the choices provided A B C D

Answers

Answer:

C. Mediterranean Sea

Step-by-step explanation:

The Mediterranean Sea is south of western Europe. The Atlantic doesn't really touch Europe, the Pacific is east of Europe, and the Baltic sea is in northern Europe.

Assume that a professor gives an exam to a class of 50 students. The high score is 98 points and the low score is 48 points. The professor wants to create a frequency distribution that is divided into five classes for the exam scores. The class width for the data is approximately _____________ points.

Answers

Answer:

98-48=50 so the answer is 50

What is the radius of a cone whose volume is 50 cubic units and whose height is 6 units?

Answers

Answer:

Radius = 2.8

Step-by-step explanation:

V = 1⁄3 πr² × h

50 = 1⁄3 πr² × 6

50 = 1⁄3 × 22⁄7 × r² × 6

50 = 22⁄21 × r² × 6

50 = 22⁄21 × 6 × r²

50 = 6.286 × r²

50 = 6.286r²

50/6.286 = 6.286r²/6.286

r² = 7.954

r = √7.954

r = 2.820

Other answers

Answer:

radius r = 2.82094792 m

height h = 6 m

slant height s = 6.63006389 m

volume V = 50 m3

lateral surface area L = 58.7574113 m2

base surface area B = 25 m2

total surface area A = 83.7574113 m2

-8x + 5 greater than or equal to -3

please solve this equation

Answers

Answer:

The greater than or equal to sign is:

>= or ≥.

Now let's solve for this inequality.

-8x + 5 ≥ -3

First, we need to get rid of any constants.

Get rid of a constant by performing the inverse operation of it, we always apply this to both sides of an inequality.

The inverse operation of addition (since it is a positive 5) is subtractions.

So, we subtract 5 from both sides;

-5         -5

Now we have:

-8x ≥ -8

Now, all we need to do is isolate x from it's co-efficient, 8.

To do that, we also utilize the inverse operation.

The inverse operation of multiplication (since -8 is being multiplied by x) is division, we apply this to both sides of this inequality.

So, we divide by -8 from both sides;

÷ -8 ÷ -8

And we'll end up with:

x ≥ 1, therefore the solution to this inequality is 1.

which answer is equivalent to 5/12
A 0.416
B. 0.6
C.0.417

Answers

Answer:

A

Step-by-step explanation:

5/12 as a decimal is 0.416

Answer:

the answer is a

Step-by-step explanation:

if you convert 5/12 as a decimal it would be 0.4167 or 0.416

3. Why is it helpful to work out long division problems with order and consistency?​

Answers

[tex]\mathbb{ANSWER:}[/tex]

Long division helps in breaking the division problem into a sequence of easier steps. Just like all division problems, a large number, which is the dividend, is divided by another number, which is called the divisor, to give a result called the quotient and sometimes a remainder.

Hope is Help!

5 Anita is using 36 cards to set up a card game. She wants to make
an array with the same number of cards in each row.
What are all the different ways Anita could arrange the cards?
Describe all the different ways.

Answers

Answer:

box is there so I'll put the money in the post

Amira buys cookies and onions at the store.
She pays a total of $51.40.
She pays a total of $6.18 for the cookies.
She buys 7 bags of onions that each cost the same amount.

How much does each bag of onions cost?

Answers

The cost of each bag of onions that was purchased by Amira given the total amount spent and the cost of cookies is $6.46.

How much was spent on a bag of onion?

The first step is to determine the total cost of the 7 bags of onions.

Total cost of the 7 bags of onions = total amount spent - cost of cookies

$51.40 - $6.18 = $45.22

Now, divide the total cost of the 7 bags of onions by 7.

Cost of one bag of onion = 45.22 / 7 = $6.46

The student council at Douglass High School is selling shirts for spirit week. So far, they have sold 58 long-sleeve shirts: 24 on Monday and 34 on Tuesday. Short-sleeve shirts have been less popular: they sold 18 of them on Monday and 25 on Tuesday. The student council earned $480 on Monday and $675 on Tuesday.
24x+18y=480
34x+25y=675
Now solve the system of equations you selected. What is the price of a long-sleeve shirt?

Answers

The student council sold long sleeve shirts for $12.50 and short sleeve shirts for $10.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the cost of long sleeve and y represent the cost of short sleeve, hence:

24x + 18y = 480     (1)

Also:

34x + 25y = 675    (2)

From both equations:

x = 12.5, y = 10

The cost of long sleeve shirts was $12.50 while short sleeve was $10 each.

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Eight friends went to a pizza party they got to create their own pizza

Answers

That’s nice to know
Love pizza

Find the equation of the line shown

Answers

Answer:

make me brainliest

Step-by-step explanation:

y=8x

Answer:

y = -x + 9

Step-by-step explanation:

the equation of a line is given by y = mx + b where m Is the slope and b is the y intercept.

as shown in the graph, the y intercept is 9.

how to find the slope:

the slope is rise over run and as we can see that the points move down once and to the right once at every exact point. hence, the slope is -1.

the equation: y = -x +9

make sure to ask if you need any further guidance :)

I need help to find the measures and lengths of these arcs

Answers

Answer:

Step-by-step explanation:

i)14π/9

ii)91π/18

iii)77π/9

iv)140⁰

2−2n=3n+17 solve for n, N=??

Answers

Answer:

n=-3

Step-by-step explanation:

First you will add 2n to both sides

2- 2n = 3n +17

  +2n   +2n

2=5n+17

subtract 17 from both sides

15= 5n

divide 5 from both sides

3=N

N=-3 because when solved for n and get n to one side, you get 15=-5n so you then would have to divide by -5, so 15/-5 =-3 and that is the value for n

Which table represents a linear function?

Answers

Answer:

The last table.

Step-by-step explanation:

We can see that the last table is the only table that has y values that go up by the same value each time. If x goes up by 1, y goes up by 5. Therefore, the last table is the only table that represents a linear function.

The Copper River school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected seventh- and eighth-grade classes,
Number of students in randomly Mean Mean absolute
selected class
deviation
Seventh 30, 31, 32, 34, 38
33 24
grade
Elghth 26, 27, 29, 32, 36
30
grade
3.2
Based on these data, which statement is true?
A. The average size of an eighth-grade class is smaller and varies
less than that of a seventh grade class.
B. The average size of an eighth grade class is smaller and varies
more than that of a seventh grade class.
C. Every seventh grade class has 3 more students than an eighth
grade class

D. The recommended number of students in an eighth-grade class is 30

Please help first to answer and the answer is correct will get brainlist list and a lot of points so please hurry and answer!!!

Answers

The correct statement is A that is The average size of an eighth-grade class is smaller and varies less than that of a seventh-grade class.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations.

The mean of the seventh grade is given as 33.

The mean of the eighth grade is given as 30.

The correct statement is A because the mean absolute deviation of an eighth-grade class is less than that of a seventh-grade class.

Also, the class size is larger on average for seventh-grade classes (33 > 30).

Learn more about mean;

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G is the set of odd natural numbers that are less than or equal to 11

Answers

Answer:

G = {1, 3, 5, 7, 9, 11}.

Step-by-step explanation:

All natural numbers less than or equal to 11

are  1 2 3 4 5 6 7 8 9 10 11

We pick out the odd numbers from this list.

A shape is made by these three squares. What is the perimeter of new shape below:​

Answers

Do you have any measurements?

I WILL GIVE BRANLIEST IMAGE BELOW

Answers

Since the two horizontal lines are parallel, 4x+7=75

4x=68

x=17 or 17º

Answer:

x = 17

Step-by-step explanation:

(4x + 7) must equal 75

75 - 7

= 68

4x = 68

4x/4 = 68 /4

x = 68/4

x = 17

Is the graph increasing, decreasing, or constant where -3 < X < -1?

Answers

Answer:

{xI-3<x<-1}

Step-by-step explanation:

If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters

Answers

Answer:

Step-by-step explanation:

Formula

The formula for perimeter is

P = 2L + 2w

Givens

Let the width = w

Length = 3w + 4

P = 80 cm

Solution

P = 2L + 2w

80 = 2(3w + 4) + 2w          Remove the brackets

80 = 6w + 8 + 2w              Combine

80 = 8w + 8                        Subtract 8 from both sides

80-8 = 8w + 8-8                 Combine

72 = 8w                               Divide both sides by 8

72/8 = 8w'8

9 = w

Answer

w = 9

L = 3*w + 4

L = 3*9 + 4

L = 31

The function f(x)is shown in the graph.

What is the equation for f(x)?

Answers

Answer:

(-5/6)x - 1

Step-by-step explanation:

the equation is given by: y = mx + b

m = slope

b = y intercept

m = -5/6

y intercept = -1

f(x) = (-5/6)x - 1

Q1 - Find the circumference of following circle. Take π = 3.14

A-18.84 units
B-47.3 units
C-72.22 units
D-47:1 units

Answers

Answer:

The circumference of the circle is C-72.22 units

Step by step explanation-

Given-

Diameter of circle (d) = 23 units π = 3.14

Now,

[tex] \mathfrak {circumference \: of \: circle = \pi d }[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 23[/tex]

[tex] \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ = 72.22 \: units}[/tex]

Hey ! there

Answer:

Option C - 72.22 units is the correct answer .

Step-by-step explanation:

In this question we are given with diameter of circle that is 23 units and value of π as 3.14 . And We are asked to find the circumference of circle.

We know that ,

[tex] \qquad \qquad \: \underline{\boxed{\frak{ Circumference = \pi d}}}[/tex]

Where ,

π = 3.14

d = diameter of circle

Solution : -

[tex] \longrightarrow \qquad \: 3.14 \times 23[/tex]

By multiplying 23 with 3.14 we get :

[tex] \longrightarrow \qquad \: \red{ \underline{\boxed{\frak{72.22}}}}[/tex]

Henceforth , circumference of circle is 72.22 units .

#Keep Learning

4x²+4x-24 step by step

Answers

Answer:

factored form = 4(x−2)(x+3)

Step-by-step explanation:

4 is a factor of the entire equation so factor it out and it will leave U with the answer

ron buys a pair of shoes for $60 plus a 9.5% tax. shawna buts a pair of shoes dor $74 plus a 9.5 tax

enter the anount Ron and Shawna paid, including tax

Answers

Answer:

$146.73

Step-by-step explanation:

1. Calculate the 'Amount of sales tax':

Formula:

Amount of sales tax =

Sales tax rate × Price without sales tax

Calculation:

Amount of sales tax =

9.5% × 134 =

9.5/100 × 134 =

9.5 ÷ 100 × 134 =

0.095 × 134 =

12.73

2. Calculate the 'Price with sales tax':

Formula:

Price with sales tax =

Price without sales tax + Amount of sales tax

Calculation:

Price with sales tax =

134 + 12.73 =

146.73

Answer:

Amount of sales tax = $12.73 dollars;

Price with sales tax = $146.73 dollars;

Instructions: Use the image and your knowledge of the
isosceles triangle to find the value of 2.

Answers

Answer:

x = 36˚

Step-by-step explanation:

The 2 base angles in an isosceles triangle are equalAngles in a triangle sum to 180˚[tex]x+72+72=180[/tex][tex]x+144=180[/tex][tex]x=180-144=36[/tex]

Answer:

Step-by-step explanation:

In isosceles triangle, the base angles (the angles opposite to equal sides) are equal.

∠A = ∠B = 72

72+ 72 + x = 180  {Angle sum property of triangle}

   144 + x = 180

            x = 180 - 144

           x = 36°

What’s the center of a circle also called?

Answers

the focus of the circle

hope it helps...!!!

In math, do you still distribute even the number is behind the parentheses?

For example:

(2x+3)5+23

Would you still distribute the 5?

Answers

The answer is YES!
You’re gonna have 10x+15+23
Then 10x + 38
And then you are doing next (2x+3) •5 + 23
So you have 2(5x+19)
Yes you would distribute the 5 typically following the steps of pemdas

How many terms are in this expression??? m + 13m + 13

Answers

Answer:

Given: m+13m+13

13m-m= 13

12m= 13

m= 13/12

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