Use the Law of Logarithm to expand the expression. ln(y √x/z (I know the answer is 2ln(y)+ln(x)-ln(z) all over 2, but I need the steps to get there)

Answers

Answer 1

Answer:

[tex]in (y\sqrt{\frac{x}{y}}) =\frac{1}{2} in(x)-\frac{1}{2} in(z) +in(y)[/tex]

Step-by-step explanation:

From the question we are told that the expression [tex]ln(y √x/z[/tex]

[tex]in (y\sqrt{\frac{x}{y}})[/tex]

[tex]in(y)+in(y\sqrt{\frac{x}{y}})[/tex]

[tex]in(xy)=in(x)+in(y)[/tex]

[tex]in(xy)=in\frac{x}{z} ^1^/^2 +in(y)[/tex]

[tex]in(xy)=\frac{1}{2} in(\frac{x}{z}) +in(y)[/tex]

[tex]in(xy)=\frac{1}{2} in(x)-in(z) +in(y)[/tex]

[tex]in(xy)=\frac{1}{2} in(x)-\frac{1}{2} in(z) +in(y)[/tex]

Mathematically

[tex]in (y\sqrt{\frac{x}{y}}) =\frac{1}{2} in(x)-\frac{1}{2} in(z) +in(y)[/tex]


Related Questions

A rectangular prism has a length of 10in, a height of 15in, and a width of 8in. What is its volume, in cubic in?

Answers

Answer:

1200 inc^3

Length x width x height

10 x 8 x 15= 1200

What is the sum of the 16th square number and the 6th square number?

Answers

Ne demek istoyusun anlamadım

Which is a graph of y=-1/2x- 2?

Answers

Answer:

the first one

y-intercept (0,-2)

x-intercept (-4,0)

solve

12 - y = 5

could you explain how to do it :]

Answers

Answer:

this is

12-y=5

12-y =5

y=5- 12

then y=7

could you see this this correct

Answer:

7

Step-by-step explanation:

do 12-5 which is 7

that is the answer

you need to find which number needs to be subtracted from 12 to make 5!

Select the equivalent expression
(x^8/x^6) ^(5/4)

Answers

Answer:

8

[tex]22y \frac{ < { > = 3 < {3 \frac{y { {?}^{?} }^{2} }{?} }^{2} }^{2} }{?} [/tex]

please help me with this.

Answers

1.) 1 3/4 || 14/8 || 1 21/28
2.) 21/36 || 140/240
3.) 3 || 1 24/12 || 75/25 ||2 15/15

what is 2 thirds of 19 divided by 2plus 3 multiplied by4​

Answers

Answer: 18.33

Step-by-step explanation: I mean the real answer was : 18.3333333333

Which example does NOT show the commutative property of addition? 4+x=x+4
Ab=ba
A+b=b+a
3x+4y=4y+3x

plz answer quick

Answers

Answer:

Ab=ba that one is multiplication I believe

Triangles A B C and N M L are shown. Angles B A C and L N M are right angles.

What additional information could be used to prove that △ABC ~ △NML? Check all that apply.

∠B ≅ ∠M
△ABC is a right triangle.
△ABC was rotated and dilated by a scale factor between 0 and 1.
△ABC was translated right and down.
∠C ≅ ∠L

Answers

Answer:

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

How Do I Know?

Because I literally just did it just now and that's what it said that the answers were. January 9th, 2021- Edge :)

A. Angle B is congruent to angle M

C. Triangle ABC was rotated and dilated by a scale factor between 0 and 1

E. Angle C is congruent to angle L

What is similarity in triangles?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given:

To prove that triangle ABC is similar to triangle NML.

The following points are considered:

∠B ≅ ∠M

△ABC was rotated and dilated by a scale factor between 0 and 1.

∠C ≅ ∠L.

Learn more about similarity here:

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hii please please help i’ll give brainliest if you give a correct answer tyyyyy

Answers

6 because Elena is gaining by 2 miles every hours, so if there is a 12 mile difference it will take Elena 6 hours to catch up

The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)

Answers

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

-2x - (-18x + 126) = -18

Answers

Answer:

6.75 or 6and 3/4

Step-by-step explanation:

-2x - (-18x + 126) = -18

-2x + 18x - 126 = -18

16x = -18 + 126

16x = 108

x = 6.75 OR 6 3/4

Pls makr brainliest tysm

Can anyone solve this for me? Ty:)

Answers

Answer:

2x^2 + 6x + 2

Step-by-step explanation:

5 + 3x - x^2 + (3x^2 - 5x + 4 + 8x - 7) =

= 5 + 3x - x^2 + 3x^2 + 3x - 3

= 2x^2 + 6x + 2

complete the function table for the given domain and plot the points on the graph f(x)=(x-5)^2+1

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f(x) = (x-5)²+1

put x = 2

f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10

put x = 3

f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5

put x = 4

f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2

put x = 5

f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1

put x = 6

f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2

Thus, the table wil be completed as:

x           2         3       4         5        6

f(x)         10        5       2         1        2

Please check the attached figure for the plotting graph.  

Answer:

He is correct^^^^^^

Step-by-step explanation:

just took the test

It takes 3 people to make one snowman. If there are 36 people, how many snowmen can be
made?

Answers

Answer:

6

Step-by-step explanation:

36/6 is 6. thats your awnser

Answer:

12 snowmen

Step-by-step explanation:

The answer is 12 snowmen. Because 36 divided by 3 is 12. Hope this help!

The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll

Answers

Answer: 1/16 ft²

Step-by-step explanation:

The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².

Each roll is therefore taking up a space of:

= Area/ Number of rolls

Convert the fraction to an improper fraction:

1 ⁵/₈ = 13/8

= 13/8 ÷ 26

= 13/8 * 1/26

= 13/208

= 1/16 ft²

math problem plz help me ​

Answers

Answer:

Option C.

Ground level = 0 foot

Hole = -3 feet

Dirt pile = 3 feet

select the equation that represents the correct answer. bill divided the 32 ants in his farm into groups. there are 8 ants in each group. how many groups are in the farm?

(A) 8x = 32

(B) 32 - X = 8

(C) X + 8 = 32

(D) 32x = 8

Answers

Answer:

dont cheat

Step-by-step explanation:

Sally was painting an airplane on a canvas using a 1in.: 8ft scale. If her painting was 29 inches wide, what was the actual width of the airplane?

Answers

Answer:

232 inches or 19.33 feet

Step-by-step explanation:

232 feet is the  actual width of the airplane.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Sally was painting an airplane on a canvas using a 1in.: 8ft scale

1 inches = 8 ft scale.

Sally painting was 29 inches wide.

We have to find the actual width of the airplane.

Convert 29 inches to feet.

As we know 1 inche is 8 feet so 8 inches will be the multiple of 8 and 28.

29×8

232 feet.

Hence, 232 feet is the  actual width of the airplane.

To learn more on Unit of Measurement click:

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Solve: y = -7(-13)
it said 21 was wrong

Answers

Answer: y = 91

Step-by-step explanation:

y = -7(-13)

y = -7 x -13

y = 91

David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?

Answers

Answer:

250 + 0.05 (1500)

250 + 75 = $325 david made i a week with 1500 in sales

250 + 0.05(xx) is how much david would make if he sold xx that week

Step-by-step explanation:

i hope this helped :)

A linear function is a function that changes at a constant rate.

David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in sales

The given parameters are:

Flat Salary = $250 weeklyCommission= 5%

A linear function is represented as:

[tex]C(x) = b + mx[/tex]

Where:

b represents the y-interceptm represents the slope

So, we have:

[tex]C(x) = 250 + 5\% \times x[/tex]

Express 5% as decimal

[tex]C(x) = 250 + 0.05 \times x[/tex]

[tex]C(x) = 250 + 0.05x[/tex]

On a sale of $1500, the equation becomes

[tex]C(x) = 250 + 0.05 \times 1500[/tex]

[tex]C(x) = 325[/tex]

Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales

Read more about linear equations at:

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Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 8/3x?

Answers

Answer:

5

Step-by-step explanation:

it is five


The area of a rectangle is 276.9 m². If the length is 15 m, what is the perimeter of the
rectangle?

Answers

Answer:

[tex]66.92\:\mathrm{m}[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex]l\cdot w[/tex] where [tex]l[/tex] is the length of the rectangle and [tex]w[/tex] is the width of the rectangle. Therefore, based on the information given, we can write the following equation to solve for the width:

[tex]15\cdot w=276.9,\\w=\frac{276.9}{15},\\w=18.46\:\mathrm{m}[/tex].

The perimeter of a rectangle is given by [tex]p=2w+2l[/tex]. Therefore, the perimeter of the rectangle is:

[tex]2(15)+2(18.46)=\fbox{$66.92\:\mathrm{m}$}[/tex].

please help me with this

answer choice
This system has infinitely many solutions.
This system has exactly one solution.
This system has no solution.
(5, –28) and (0, 0)

Answers

Answer:

the answer is the first one hope this helps

Step-by-step explanation:

What percentage of a day is 4 hours?​

Answers

Answer:

1/6%

Step-by-step explanation:

i belive thats the answer hope it helps

A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce

Answers

Answer:

Blockof silver's wieghing = 8 ounces

total rate = $104

therefore, one ounce=$104/8= $13

The equation 4(-2u+7) is solved in several steps below. For each step, choose the reason that best justifies it. Answer choices are: addition property of equality, subtraction property of equality, multiplication prop., division prop., simplifying, and distributive property

Answers

Answer:

Find the solution below

Step-by-step explanation:

The expression is incomplete. Let say the expression is 4 (-2u + 7) = 44

Given the expression

4 (-2u + 7) = 44

Step 1: Open the bracket by distributing 4 over -2u and 7

4 (-2u + 7)= 44

4(-2u) + 4(7) = 44 (distributive property)

-8u + 28 = 44

Step 2: Subtract 28 from both sides

-8u + 28 - 28 = 44 - 28  (subtraction property of equality)

-8u  = 16

Step 3: Divide both sides by -8

-8u/-8 = 16/-8 (division property)

u = -2

Answer: A

The addition property of equality and then the division property of equality

Step-by-step explanation:

just did the quiz

Which point is located at (4, 1)? On a coordinate plane, point A is 4 units to the right and 1 unit up. Point B is 4 units to the left and 1 unit up. Point C is 1 unit to the right and 4 units up. Point D is 1 unit to the left and 4 units up. A B C D

Answers

Answer:

Point A is 4 units to the right and 1 unit up. (A).

Step-by-step explanation:

The reason is (4, 1) is (x, y).

x is in a horizontal line while y is in a vertical line.

In x, right is positive while left is negative.

In y, up is positive while down is negative.

Identify the x- and y-intercepts of the equation
4x - y = 8

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

Step-by-step explanation:

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

x intercept as (2 , 0 )y intercept as (0,-8)

Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

What percent of this grid is shaded?

The image shows a grid that has 10 columns and 10 rows making 100 equal-sized squares. Seven columns are completely shaded and 6 squares in the eighth column are shaded.

A. 76%
B. 19/20%
C. 76/100%
D. 24%

Answers

Answer:

A. 76%

Step-by-step explanation:

70+6=76 squares are shaded

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