log(x)-log(x+6)=log(k)

Find x if k=1/2

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Using the rules of logarithms

logx - logy = log ([tex]\frac{x}{y}[/tex] )

logx = logy , then x = y

Given

log(x) - log(x + 6)

= log([tex]\frac{x}{x+6}[/tex] )

Then

log )[tex]\frac{x}{x+6}[/tex] ) = log([tex]\frac{1}{2}[/tex] ) , thus

[tex]\frac{x}{x+6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 6 ( subtract x from both sides )

x = 6


Related Questions

help!! tell whether the triangle is a right triangle- i don’t need an explanation thank you!!

Answers

Answer:

1.) Right triangle

2.) Not right triangle

3.) Not right triangle

4.) Not right triangle

5.) Right triangle

6.) Right triangle

Step-by-step explanation:

The ones that are a right triangle have at least one angle that has an L shape

A polynomal of degree of 2 that has zeros -4 and 2 is

Answers

9514 1404 393

Answer:

  f(x) = x^2 +2x -8

Step-by-step explanation:

If p and q are zeros of a quadratic, its factored form is ...

  f(x) = (x -p)(x -q)

For your zeros, the factored form is ...

  f(x) = (x +4)(x -2)

Expanded using the distributive property, this is ...

  f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8

  f(x) = x^2 +2x -8

Root5 /2 root5 -1
can be written in the form
a+rootb /c
where a, b and c are integers.
Find the values of a, b and c when the resulting fraction
is written in its simplest form.

Answers

Answer:

10, 5, 19

Step-by-step explanation:

Recall that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

So we can multiply the fraction by

[tex] \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } [/tex]

And get

[tex] \frac{ \sqrt{5} }{2 \sqrt{5} - 1} \times \frac{2 \sqrt{5} + 1 }{2 \sqrt{5} + 1 } = \frac{10 + \sqrt{5} }{20 - 1} = \frac{10 + \sqrt{5} }{19} [/tex]

product of 2 and the difference between 20 and 1 is 14 ​

Answers

Answer:? Okkkkk

Step-by-step explanation:

Lol

Find the volume of the figure below. Leave your answer in terms of  π. ​

Answers

Answer: 1539π cubic inches.

Step-by-step explanation:

In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.

Radius = 9 inches   (half of diamter)

Volume of hemisphere = [tex]\dfrac23 \pi r^3[/tex]

Volume of cylinder = [tex]\pi r^2 h[/tex], where r= radius h= height

Volume of hemisphere= [tex]\dfrac{2}{3}\pi (9)^3=486\pi in.^3[/tex]

Volume of cylinder = [tex]\pi (9)^2 (13)=1053\pi\ in.^3[/tex]

Combined volume = 486π+1053π=1539π cubic inches.

Hence, the volume of the solid = 1539π cubic inches.

Looke
ook at the inequality below.
-84-2v <-46
Which of the following possible
values for v would make this
inequality truc?
A -13, -5,0,3,4
B -19, -6, -1,3,6
C -46, -23, 0, 23, 46
D-60, -30, -10, 5, 25

Answers

The answers number 2

find the value of x in this screenshot

Answers

Answer:

X=24

Step-by-step explanation:

3x+5+2x-4+2x+11=180

7x+12=180

7x=180-12

7x=168

7x/7=168/7

x=24

What is the GCF of:
4n. 16n2, 8n

Answers

The answer to the problem is 4n.

Answer:

1st expression=4n

2nd expression=16n²=4n×4n

3rd expression=8n=2×4n

so

GCF=4n

A box is to be wrapped in a shiny pink decorative paper. ​ ​ The box is 99 inches long, 55 inches wide, and 44 inches high. ​ ​ What is the minimum amount of decorative paper needed to cover the box?

Answers

Answer:

24442 square inches of decorative paper

Step-by-step explanation:

To solve for the above question, we have to find the Surface Area of the box. The box is shaped as a Rectangular Prism.

Hence, the formula is given as:

A = 2(wl + hl+ hw)

Where:

Length (l) = 99 inches

Width (w) = 55 inches

Height (h) = 44 inches

=2 × (55×99 + 44×99 + 44×55)

=24442 square inches

Therefore, the minimum amount of decorative paper needed to cover the box is 24442 square inches of decorative paper.

16. Is 4/9 a terminating or repeating decimal?
Terminating Decimal
Repeating Decimal

Answers

Repeating decimal is the answer

Find the missing angle please help

Answers

Answer:

saw this question on egde its b

Someone help me with these two questions. All you need to do is solve for x.

Answers

Answer:

1.

X=12

2.

X=19

Step-by-step explanation:

Hope it was helpful

-Moj

Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c

Answers

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

Geometry pls help me need help

Answers

A and b because they both match with the following letters

What is another way to describe an event with a probability of 1?

Answers

Answer:

Likely to get it.

Step-by-step explanation

Do you mean 1% or 1? If 1 then it is likely to pick that.

If it is 1% then it's the opposite (unlikely) to pick that.

Hopes this makes sense!

Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?

Answers

Answer:

Milk costs 75 cents per litre.

Bread costs $1.75 per loaf.

Step-by-step explanation:

solve for x . Leave your answer in the simplest form

Answers

Hello!

Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.

I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.

This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

[tex]6^2+7^2=c^2[/tex]

[tex]36+49=c^2[/tex]

[tex]c^2=85[/tex]

[tex]c=\sqrt{85}[/tex]

Which is in simplest radical form.

Hope this helps!

What is the domain of the linear function below?

Y=6x+3

A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers

Answers

D all real numbers.....

PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH

Answers

I can barely see do you have email of it

Answer:

I can't see!

Step-by-step explanation:

ILL GIVE BRAINLY IF YOU CAN HELP ME ASAP

Answers

Answer:

a

Step-by-step explanation:

hiiiiiiiii

Part B Point S is located at 5/4 on the number line. A student claims that the location of point S is to the right of the location of point P on the number line. *Explain whether the students claim is correct or in correct. *Write an equality that describes the relationship between the value of point P and the value of point S.

Answers

Number line can be found in the picture attached below

Answer:

The claim is incorrect ; Point S will be located to the left of Point P

2.5 > 1.25

Step-by-step explanation:

Location of point S = 5/4 = 1 1/4 = 1.25

From the number line ; location of point P = 2.5

Point S is lesser than P, therefore, point S would be located to the left of point P on the number line.

Inequality that describes the relationship between the value of point P and point S ;

Point P = 2.5 ; Point S = 1.25

Point P > Point S

2.5 > 1.25

The following sequence is arithmetic. Fill in the missing terms.

12 , ? , ? , ? , 18, ? ...

Answers

Answer:

12,13.5,15,16.5,18,19.5

Step-by-step explanation:

just add 1.5

HELP! I'm stuck. -.- I keep confusing myself. If you guys answer this can ya'll tell me how to do it correctly. I feel like this might happen again so.

Answers

The volume of rectangular prism = length multiplied by its width multiplied by it height
So the answer will be
4 multiply 3 multiply 1.4 which is equal 16.8
16.8 is the final answer i hope it helps ❤️

+
Find the surface area of this cube. Be sure to include the correct unit in your answer.
3 m
3 m
3 m

Answers

answer is b.Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

yw

Helpam in fourth I don't know how to do this :(

Answers

Answer:

Step-by-step explanation:

4/1000=0.0004

200/10= 20

8/100=0.08

30/100=3

7/1000=0.0007

6/10=0.6

What is the answer to 1552+452

Answers

Answer:

2004

Step-by-step explanation:

hope this is helpful

Answer: it is 2004

Step-by-step explanation:

An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.

Answers

Answer:

The probability is 0.022

Step-by-step explanation:

Firstly, we need to get the total number of balls in the urn

mathematically, we have this as ;

8 + 9 = 17

now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls

Mathematically, we have this as 9/17

Now, since the event is carried out with replacement, the probability for the six times is the same

So, we have the probability as;

(9/17)^6 = 0.022

Given m||n, find the value of x.

Answers

Answer:

The answer would be X=2 .

Step-by-step explanation:

Hope it helps u :)

PLZ HELP I NEED TO TURN THIS IN TODAY

Answers

Answer:

The top one

Step-by-step explanation:

Just count how many are in each catagory

Answer:

The First One

Step-by-step explanation:

Don't Ask How Long It Took

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units

Answers

Answer:

The area of a triangle is 1/2BH, or 1/2 times the base times the height.

If the area = 6, and B and H must both be whole numbers.

The area of the triangle ΔSTU is given by A = 12 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the area of the triangle ΔSTU be represented as A

Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units

So , the base of the triangle ΔSTU = 6 units

The height of the triangle ΔSTU = 4 units

So , area of the triangle = ( 1/2 ) x Length x Base

On simplifying , we get

The area of triangle ΔSTU = ( 1/2 ) x 4 x 6

The area of triangle ΔSTU = 12 units²

Therefore , the value of A is 12 units²

Hence , the area of the triangle is 12 units²

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ3

The complete question is attached below :

The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?

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