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

please I need this quick

Answers

Answer:

the answer is

10cm.9cm.9cm

Answer:

13 cm, 7 cm, 6 cm

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

60 on delta math

Answer:

60

Step-by-step explanation:

delta math answer

Can someone help me please thanks.

Answers

Answer:

1/125

Step-by-step explanation:

(1/5)³ = 1/125

1³ = 1

5³ = 125

Answer:

Step-by-step explanation:

this looks like  1/5 * 1/5 * 1/5

multiply the tops ( numerators) and the bottoms (denominators)

tops are 1

bottoms are 125

1/125  

:)

I HAVE 2 MINS TO FINSIH PLZ HELP

Answers

Answer:

The answer is 45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

5(3)^2

Question 1 (5 points)
(01.01 LC)
What is the decimal equivalent of 5 over 9
0.5
0.6
0.8
0.9

Answers

Answer:

0.5 is the answer to this

Answer:

0.5 is the answer

Step-by-step explanation:

April wants to multiply 6 and 42 using the distributive property. Which of the following number sentences shows how
she could do it?
06x42 = 42 x6
06x(40+2) =(6x 40) + 2
O(6x42) x1=6x (42 ×1)
06x(40 +2) = (6x 4o) + (6
2)

Answers

Answer:

I'm pretty sure the answer is the last one;

6 x (40+2) = (6 x 40) + (6 x 2)

The 6 is distributed to the 40 and the 2


Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.

Answers

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8)      ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

What are the domain and the range of this function

Answers

Answer:

D: {1,-5}

R: {7,-4}

Step-by-step explanation:

solve the system of linear equations 2x + 3y =16.9
5x =y + 7.4

Answers

Answer:

y = 23.4

Step-by-step explanation:

yeahhhh

Eleanor is 12 years younger than mabel. Mabel is 6 years older than izzy. Izzy is twice as old as Patrick. Patrick is 5 years old. What is the combined age of these four people?

Answers

Answer:

35

Step-by-step explanation:

E  = M - 12

M = 6 + I

I = P x 2

P = 5

I = 10

M = 16

E = 4

The sum of the ages of the father and the mother is
60 years and the sum of the ages of their three
children is 15 years. Find the average age of the
members of the family.​

Answers

Answer:

The average age would be 45.

Step-by-step explanation:

16 cm
+
B
11 cm
4 cm

Answers

Answer:

31

Step-by-step explanation:

A circle has a radius of 5 inches. What is the circumference and area of the
circle.
Use 3.24 for pi.

Answers

Answer:

Step-by-step explanation:

Circumference = 2nr

C = 2 x 3.14 x 5

C = 31.4

A = nr^2

A = 3.14 x 5^2

A= 3.15 x 25

A = 78.5

10 POINTS BEST ANSWER GETS BRAINLY

Answers

Answer:

b

Step-by-step explanation:

the y coordinate stays the same (same vertical thing) but x coordinate changes (goes horizontal)

I hope this helped, and if it did, please mark this as brainliest! Thanks!

x+3=-6+4x

helppp asap pleaseee

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

3 hope this helps and brainly makes me write an answer with 20 letters so im just typing random stuff

There's so many numbers in this one shape I'm confused ._.

Answers

the answer should be 12 units^2

starting from the left side of the shape you multiply base 2 by height 2 which gets 4 then divide by 2 since it is a triangle. next multiply 2x2 for the square in the middle which gets you 4. lastly multiply 6x2 for the triangle on the right which gets you 12 however bc it is a triangle you must divide by 2 and get 6. then add them all together and you get 12.

Answer:

12 [tex]units^{2}[/tex]

Step-by-step explanation:

All you have to do is do each shape then add them all up

small triangle:

a = b * h/2

a = 2 * 2/2

a = 4/2

a = 2

The area for the small triangle is 2

Sqaure:

a = b*h

a = 2*2

a = 4

The area for the sqaure is 4

Large triangle:

a = b*h/2

a = 6*2/2

a = 12/2

a = 6

The area for the larger square is 6

Now we add up all of the areas

2 + 4 + 6 = 12

The area for that shape is 12 [tex]units^{2}[/tex]

Hint: We divide by 2 for the triangles bc it's half a shape not a full rectangle of square...

Hope this helped!

what is the equation of the line that passes through the point (-2,-2) and has a slope of 4

Answers

Answer:

y=4x+6

Step-by-step explanation:

HELP ASAP i need rest

Answers

Answer:

A

Step-by-step explanation:

To know the distance between the two on a number line, we subtract both numbers from each other

Since the absolute value will give the same result irrespective of the number we used first, we can see that it is the first option that would give the needed results

This means that option A is our answer

select all the fractions that are equivalent to each other

Answers

Answer:

When fractions have different numbers in them, but have the same value, they are called equivalent fractions.

Step-by-step explanation:

Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different.

What’s the solution for b/2= 9

Answers

Answer:

18

Step-by-step explanation:

2 x 9 = 18

b = 18

Solve for  b  by simplifying both sides of the equation, then isolating the variable.


What is the measure of EFG in O0 below?

Answers

GE=60

EFG=360-60=300

:)

What is the difference betwwen perimeter and circumference?​

Answers

Answer:

perimeter is the length of the outline of a shape.

he circumference is the perimeter of a circle or ellipse.

Step-by-step explanation:

y 2 - x +4
x+y<0

someone plz help me

Answers

are these two separate questions?

2x + 4 / 3 = -8 please help

Answers

x= -14/3 !


hope this helps

Answer:

X= -14/3

Step-by-step explanation:

Subtract \frac{4}{3}  

3

4

​  

 from both sides.

2x=-8-\frac{4}{3}

2x=−8−  

3

4

​  

 

2 Simplify  -8-\frac{4}{3}−8−  

3

4

​  

  to  -\frac{28}{3}−  

3

28

​  

.

2x=-\frac{28}{3}

2x=−  

3

28

​  

 

3 Divide both sides by 22.

x=-\frac{\frac{28}{3}}{2}

x=−  

2

3

28

​  

 

​  

 

4 Simplify  \frac{\frac{28}{3}}{2}  

2

3

28

​  

 

​  

  to  \frac{28}{3\times 2}  

3×2

28

​  

.

x=-\frac{28}{3\times 2}

x=−  

3×2

28

​  

 

5 Simplify  3\times 23×2  to  66.

x=-\frac{28}{6}

x=−  

6

28

​  

 

6 Simplify  \frac{28}{6}  

6

28

​  

  to  \frac{14}{3}  

3

14

​  

.

x=-\frac{14}{3}

x=−  

3

14

​  

 

if I got exactly 3 days to pay rent and I have no money how and what da F ima do yoooo pls help a boy out my guy ​

Answers

As any family members for a loan

Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?

A. 3
B. 9/12
C. 2 1/4
D. 4

Answers

Answer:B.9/12

Step-by-step explanation:

Answer:

2 1/4 cups

Step-by-step explanation:

3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:

3/4 x 3 = 9/4

9/4 = 2 1/4 or 2.25

So, Carlos needs 2 1/4 cups of sugar for 3 cakes

3x + 9 = x + 5 Two sided equations

Answers

Answer:

x=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+9=x+5

Step 1: Subtract x from both sides.

3x+9−x=x+5−x

2x+9=5

Step 2: Subtract 9 from both sides.

2x+9−9=5−9

2x=−4

Step 3: Divide both sides by 2.

2x /2=-4/2

x=−2

i need help on math ​

Answers

Answer:

its multiply by 2

The answer is multiply by 2

how to solve this problem​

Answers

Why is there a 8 in the corner

Answer this question ASAP for points and Brainliest!

Answers

Step-by-step explanation:

[tex] \frac{1}{5} (10 - 15u) = 2 - 3u[/tex]

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