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

simplify the equations below

Answers

Answer:

Problem 1:  1/64x^8

Problem 2: y^8/9x^2

Step-by-step explanation:

In the first problem, you first need to multiply the -2 exponent to everything in the parenthesis. This is equal to 1/64x^4*-2, simplified to be 1/64x^-8. Finally you simplify the x to 1/64x^8.

For the second problem, you do the same in the first one, getting x^-2/9y^4*-2. This can be simplified to be 3x^-2/y^-8. Finally you make sure there is no negative exponents, so you do y^8/9x^2.

Answer:

1/64x^8 and y^8/9x^2

Step-by-step explanation:

hope this helps have a good night :)

Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Answers

Answer:

Domain: Al real values

Range: All real numbers

Step-by-step explanation:

Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?

Given the functions'

f(x)=e^x and g(x)=x+6.

gof(x) = g(f(x))

g(f(x)) = g(e^x)

Substitute x with e^x in g(x) as shown:

g(f(x)) = e^x + 6

The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values

Thissss answerrrrrrrrrrrrrrrrrrr

Answers

Answer: J. Five Ones.

What is the correct equation to solve for x ?

Answers

x=15.96

x=17.6

x=11.81

x=12.23

Ivan has 17 times as many nickels as Nicole.Select the variable expression that shows how many nickels Ivan has if n is the number of nickels that Nicole has.

Answers

Answer:

17 n

Step-by-step explanation:

Ivan has 17 times as many nickels as Nicole.

Let Nicole has n nickels.

It would mean that,

No. of nickels Ivan have = 17n

Hence, there are 17n nickels Ivan has.

Answer:

17n

Step-by-step explanation:

Solving Multi-Step Equations Maze
Drag the appropriate arrow to
show your path as you go
from the start to the finisch
DOWN START ve cochojuan for Xbo v pollo heard
START
(2x + 1) - 36
5(x ) - 100
2.75
Jul
10
Jul
3(2x + 4) 19
182x-X-7
18-15-3(6x + 5)
15
Til hay
II
58 7x25 - 4
X-9.6x22.5
15
-6,3
THE
END

Answers

Hmmm ik it’s called the hot dog method

Ms. Petters has 36 red, blue, and green markers. She has an equal number of each color of marker. She arranges the red markers in 2 equal groups. How many red markers are in each group?​

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The answer should 6 Ik for sure

Help me find the value of "y" thanks

Answers

You would move you positive 3 to the left side so (y) is by itself. So you would have 3x-8=y. Then substitute X=5. So 3(5)-8=y. 15-8=y. 7=y

Answer:

[tex]y=3x-8[/tex]

Step-by-step explanation:

First, you have to isolate y on one side of the equation.

Step 1) Add 5 to both sides (this will cancel out the (-5) on the left)

Step 2) Subtract 3x from both sides (this will cancel out the (3x) on the left)

Step 3) Subtract y from both sides

Step 4) In order to make the desired variable positive, change the sign of everything in the equation

The step shown above will yield the answer of [tex]y=3x-8[/tex]

answers for the 2 boxes ​

Answers

Step-by-step explanation:

y = 4x + 3.

Therefore y = 7 + 3x

=> (4x + 3) = 7 + 3x

=> x = 4.

y = 4(4) + 3 = 19.

The solution pair is (4,19).

plzzzzz help plz i need this answer

Answers

Answer:

Step-by-step explanation:

3x - 4 = x + 4

2x - 4 = 4

2x = 8

x = 4

BC = 4 + 4 = 8

What is the solution for 3x =9

Answers

The answer to your question is 3

x = 3

Divide each term by  3  and simplify.

Molly is currently one third the age of her mother. In 12 years, Molly will be half the age that her mother will be. How old is Molly's mother now?

Answers

Answer

Molly's mother is 36 years old now.

Step-by-step explanation:

Answer:

Molly's mother is 36 now.

Step-by-step explanation:

(I could go the algabraic way, but I'd prefer not to. I'd rather guess. )

If Molly would be 24 in 12 years and her mother would be 48 at that time, then Molly is 12 now. Her mother would be 36 now.

Well, that didn't take too long! I hope this helps!

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

They both equal

Step-by-step explanation:

The statement is true about ∠2 and ∠6  is corresponding angles.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

Parallel lines j and k are cut by transversal t .

We have to find  statement is true about ∠2 and ∠6.

According to given question we have

Parallel lines j and k are cut by transversal t .

So,

∠2 = ∠6 ( corresponding angles)

∠1 = ∠5 ( corresponding angles)

Therefore, the statement is true about ∠2 and ∠6  is corresponding angles.

Learn more details about  line here:

https://brainly.com/question/2696693

#SPJ1

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

Here is a number line write down the inequality shown on the number line

Answers

Answer:

[tex] - 3 < x \leqslant 2[/tex]

Answer:

-3<p<2

Step-by-step explanation:

Which expression gives the distance between the points
(2,3) and (4, -3)?
O A. (2-4)* +(3+3)
O B. (2-3)* +(4+3)?
C. (2-4)2 + (3+3)2
O D. (2-3)* +(4 +3)
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3)  and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

  d = √[(2 - 4)² + (3 + 3)²]

ILL GIVE BRAINLIEST! How can 4(3 + 8) be rewritten using the distributive property?

Answers

Answer:

The distributive property of multiplication states that a ( b + c ) = a b + a c . It's often used for equations when the terms within the parentheses can't be simplified because they contain one or more variables.

Answer:

4+3*4+8

Step-by-step explanation:

distributive property is a*b+a*b

What is the geometric mean of 7 and 56

Answers

19.7989898732 or to simplify it 19.79
19.79 is the answer to your question

Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much (in cents) will 14 inches of wire cost?

Answers

Answer:

[tex]56[/tex] cents

Step-by-step explanation:

If [tex]18[/tex] inches of wire cost [tex]72[/tex] cents, then each inch of wire will cost [tex]\frac{72}{18}=4[/tex] cents. Therefore, 14 inches of wire will cost [tex]14*4=56[/tex] cents. Hope this helps!

Answer:

56 cents

Step-by-step explanation: 72 cents divided by 18= 4 so for one inch of wire it cost 4 cents       Then 14 inches times 4= 56  I think thats

the answer

PLZ PLZ PLZ HELP MEEEE

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Answer:

open comment

please mark me brilliant

I Believe the answer is 16 and 4

The expression above can also be written in the form
Will mark brainliest!!!!! Please help

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Answer:

but its somwere in 67

Step-by-step explanation:

Answer:

Have a great rest of ur day

Step-by-step explanation:

Someone pls help what would this slope be ?

Answers

Answer:

-3/5x

Step-by-step explanation:

It is a negative slope and use rise over run

what is the geomectric theory on the number system and how is was created

Answers

Answer:

b

Step-by-step explanation:

I got it right on the quiz

Answer:

It is 53

Step-by-step explanation:

I dont know

The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.

Find the equation of the parabola

Answers

Answer:

y = - x² + 5x - 4

Step-by-step explanation:

Given that the zeros are x = 1 and x = 4 , then the corresponding factors are

(x - 1) and (x - 4) , then

y = a(x - 1)(x - 4) ← a is a multiplier

   = a(x² - 5x + 4)

To find a substitute the coordinates of any other point on the parabola into the equation.

Using (2, 2), then

2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )

a = - 1

Thus

y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )

====MATH QUESTION====Extra points

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I think the answer is A :) i hope this helps


Write 8 x 10^-4 in standard notation.

Answers

Answer:

0.0008

Step-by-step explanation:

[tex]8 \times {10}^{ - 4} = 0.0008[/tex]

Help !! Answer please

Answers

Answer:

4

Step-by-step explanation:

Solve 4 two-step equations:

1. 2x + 12 = 4
2. -5c + 9 = -16
3. -12 = -7 + x/4
4. -n/6 + 4 = 3

Answers

1.X=-4
2.C=5
3.X=-20
4.N=6

Hope this helps

Have a great day/night

I don't get it, the concept is to make a proof, but I'm so confused!!!!

Answers

Answer:

Try Finding What A And B Is...

Step-by-step explanation:

Rewrite the fraction in the sentence below as a percentage. In 2002, a popular company made 11/20 of its money online.​

Answers

Answer:

55%

Step-by-step explanation:

11/20 = 0.55

0.55 = 55%

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