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

Find x. This is not drawn to scale.
H
150°
GX 54°
J
E
Are
F

Answers

Answer:

48°

Step-by-step explanation:

We solve the above question using circle theorem.

Finding x

The formula is given as

x = 1/2 (150° - 54°)

x = 1/2 (96)°

x = 48°

A car worth $14,000 depreciates at a rate of 4% per month. How long until it is worth $10,000?​

Answers

Don’t click that link!! It’s a IP scam
Question What link are you talking about

PLEASEEEEE ILL MARK BRAINIEST

Answers

Answer:

5. 18 that is what i think the answers are

6. 13.75

5 2 11 8 35 32

Find the slope of the graph.

Answers

Answer:

The slope is -1.3

Step-by-step explanation:

Plug it in stat, but Ill try to explain it. y2-y1/x2-x1

(-3,4)(3,-4)

-4-4/3-(-3) = -1.3

My Samsung charger broke so I went to Five Below to get a new one. They were on sale for $15,35 (not so five below). There
was a 6% tax too. How much did the new charger cost?

Answers

Answer:

It would be in thE 20.75

Step-by-step explanation:

Just keep adding change by 9 6 times

Answer : $16.27

Explanation : 15.35 x .06 = .92 cents
15.35 + .92 = = 16.27

 What value of Y makes the equation true? Y + 2.9 = 11​

Answers

Answer:

8.1

Step-by-step explanation:

Subtract 2.9 to get Y alone.

11 - 2.9 = 8.1

Two cities are 400 miles apart. If the scale on a map reads Inch = 50 miles , find the distance between the cities on the map,​

Answers

Answer:

8 inches between cities

Step-by-step explanation:

8.

Find the area of the shaded region.


A. 5x2 – 11x + 16

B. 5x2 + 7x – 26

C. 5x2 + 11x – 12

D. 5x2 + 7x – 20

Answers

Area of the shaded region = area of big square minus area of little square.

Here is the set up:

Let A_s = area of shaded region.

A_s = (2x + 2)(3x - 4) - [(x - 3)(x - 6)]

Take it from here.

Answer:

B. 5x2 + 7x – 26

Step-by-step explanation:  keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.

.................................................................................................................................

Answer:

Area = 5x^2 +7x -26

Step-by-step explanation:

The area of the shaded region can be found if you substruct the small rectangle from the big one. The area of any rectangle is calculated if you multiply width and height.

In other words:

A_small = (x-3)(x-6) = x^2-9x +18

A_big = (2x+2)(3x-4) = 6x^2 -2x -8

A_big - A_small = (6x^2 -2x -8) - (x^2-9x +18)

= 6x^2 -2x -8 - x^2 + 9x -18

= 5x^2 +7x -26

The base angles of an isosceles trapezoid are__________?​

Answers

Answer:

Base angles of an isosceles triangle are always congruent.

Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!

Answers

Given adjacent = 14.7
Given degree = 41
Find hypothenuse
Sohcahtoa (use cah to find hypothenuse)

Cosine = adjacent/hypothenuse
Cos(41) = 14.7/h
0.7547095802 = 14.7/h
14.7/0.7547095802 = 19.477691

Round to nearest tenth:

Solution: 19.5

Answer:

x = 19.48 or 19 12/25

Step-by-step explanation:

cos 41° = 14.7/x

x = 19.48 or 19 12/25

A. 3
B. 10
C. 20
D. 30​

Answers

Answer:

D. 30

Explanation:

292/100×9.9 = 2.92×9.9 = 28.908

30 is closest to 28.908

Gilbert's weekly pay in dollars, D. can be represented by the function D = 13.5h, where h represents the number of hours
he works during a week.

Answers

Answer:

she will have 27,216 dollars after 12 week

27,216 per week

Step-by-step explanation:

12 week has (12*7*24)=2,016 hours

D = 13.5h    D = 13.5*(2,016 )=27,216

Does anyone know how to work this out step by step?

Answers

Answer:

[tex]2x^{3} +10[/tex]

Step-by-step explanation:

[tex]x*2x*x+10=2x^{3} +10[/tex]

The school band has 8 alto saxophones and 2 baritone saxophones. What is the ratio of baritone saxophones to alto saxophones?

Answers

Answer:

4:1

Step-by-step explanation:

8/2 = 4:1 cause 2 can go into 8, 4 times.

Need help too lolllllll

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet

Answers

Complete question :

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.

Answer:

17

Step-by-step explanation:

From Pythagoras :

Hypotenus = sqrt(opposite² + adjacent²)

From the diagram

l = sqrt((l-9)² + 15²)

l² = (l² - 18x + 81 + 225)

Square both sides

l² = l² - 18x + 306

l² - l² = 306 - 18x

18l = 306

l = 306/18

l = 17

What is the value of -92 – 10+ + + 2(145 – 7)?
не
d
ard

Answers

Answer:

-92  - 10 + 2(145 - 7) + 174

Step-by-step explanation:

What is the volume of the solid figure?
Enter your answer in the box.

Please help..

Answers

Answer:

188

Step-by-step explanation:

10*5*4 - 6*2

PLSSS HELP IF YOU KNOW THISS:))

Answers

The answer is 428 there you go

Arletta built a cardboard ramp
for her little brother’s toy cars.
Find the volume of this ramp.

Answers

Answer:

Volume = 525 in³

Step-by-step explanation:

Volume = 25 x 7 x 6 x 0.5 = 525 in³

plz answer I will mark brainlest

Answers

Use substitution
Since you know y = -2x-6, you can easily plug into the other equation

2(-2x-6) = - 4x - 12
-4x - 12 = -4x - 12
True

Infinitely many solutions

Answer:

(-3,0)

Step-by-step explanation:

y=-2x-6 and 2y=-4x-12

=-2x-6

Solution is

(-3,0)

A photo of a beetle in a science book is increased to 655% as large as the actual size. In the
beetle is 16 millimeters, what is the size of the beetle in the photo?
The size of the beede in the photo

Answers

Answer:

104.8

Step-by-step explanation:

16 x 6.55 = 104.8

Answer:

104.8 millimeters

Step-by-step explanation:

16 x 6.55 = 104.8

Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:

Answers

Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

the figures are similar find X ​

Answers

Answer:

X=14.4

Step-by-step explanation:

As triangles are similar

The ratio of the sides must be equal

so..

[tex]\frac{x}{8} =\frac{9}{5}[/tex]

[tex]x=\frac{9*8}{5}[/tex]

[tex]x=14.4[/tex]

hope it helps...

have a great day!!

Which decimal is closest in value to the fraction below? 1/6


Answers

Answer:

0.1666...

Step by step explanation:

By using long division (with 6 as the divisor) the number sentence would keep on going with 40-36.

0.166666666

1.000000000

− 0                  

 10                

−  6                

  40              

 −36              

   40            

   −36            

       40          

     − 36          

         40        

       − 36        

           40      

         − 36      

             40    

           − 36    

               40  

             − 36  

                 40

               − 36

Twice the difference of a number and 4 equals 3

Answers

Answer:

x - 4 x 2 = 3

Is your algebra expression.

the area of a rhombus is 24 square inches. What is the are of a similar rhombus that is 7 times as big?

Answers

Answer: 1176

Step-by-step explanation: 7 times as big is an ambiguous term; it could mean that each side is 7 times larger, or that the shape as a whole is made 7 times larger. We'll assume that each side is made larger, because that is typically the type of question asked. The area is given as base times height, and obviously, if you dilate the non-base side by 7, the height will also become 7, because those two lines from a triangle with the third side being the base extended. I wish I could draw you a diagram but i can;t. Either way, think of it as a square, and if we dilate each side by 7, then we have lx7xwx7=Area, which is lw*49=49 times the given area, which is 24; 24*49=1176

1. Determine the value of y for y = x -2

x 9 -1 5 -7 3
y ? ? ? ? ?
Please help! (It's called functional relationships by the way) Will mark brainliest (If you send any cutt or tyink links that are scams, I WILL REPORT YOU SO DON'T ANSWER IF U DON'T KNOW!!!!!!!)

Answers

Answer: The answer is 3

Step-by-step explanation:

Hope this helps you! Have a good day! :)

Someone please help me outttttttttttt

Answers

Answer:

the answer should be

[tex]12 \sqrt{2} [/tex]

Step-by-step explanation:

the shorter leg of a right triangle (in this case it would be BC) is always half the value of the longest side, AB. So if AB is 24\/2, half of that should be 12\/2. So, since BC =X, then X=12\/2.

hope this made sense

according to a survey taken at an amusement park about visitors favorite rides. 15 of the (15/50) visitors surveyed like the roller coasters the best. What percent of people chose the roller coasters their favorite ride

Answers

Answer:

30%

Step-by-step explanation:

12 marbles are in a bag; 3 each of red, blue, green, and orange. If 3 marbles are chosen at random, what is the probability that all 3 are green?

Answers

Answer: [tex]\dfrac{1}{220}[/tex]

Step-by-step explanation:

Given

There are 3 marbles of red, blue, green and orange

Total marbles are 12

No of ways of choosing 3 green marbles out of 3 green marbles is [tex]^3C_3[/tex]

Total no of ways of selecting 3 marbles out of 12 are [tex]^{12}C_3[/tex]

So, the probability is

[tex]\Rightarrow P=\dfrac{^3C_3}{^{12}C_3}=\dfrac{1\times 3\times 2\times 1}{12\times 11\times 10}\\\\\Rightarrow P=\dfrac{1}{220}[/tex]

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