solve: log3(x)+log3(x-2)=log3(x+10)​

Answers

Answer 1

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2


Related Questions

Dylan invested some money into his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years
At the end of the 2 years period the value of his investment increased by 72%
Work out the value Dylan initial investment was?

Answers

Answer:

the initial investment is $1,200

Step-by-step explanation:

The computation of the initial investment is shown below:

As we know that

Let us assume the investment be 100

So, the investment increased be 72

So,

Simple interest = Principal × rate of interest × time period

72 = Principal × 3% × 2 years

So, the principal is

= 72 ÷ 3% × 2

= $1,200

hence, the initial investment is $1,200

What is the area of the parallelogram?
4 cmi
5 cm
9 cm
18 cm2
28 cm?
36 cm2
0 45 cm2

Answers

Answer:

36 cm2

Step-by-step explanation:

Answer:

36cm² your welcome

whats the surface area of, 47 cm 25 cm 24 cm 14 cm ?

Answers

Answer:

110 cm

Step-by-step explanation:

I added up all the numbers.

Hope this helps:)

During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?

Answers

he would have no money because he used it

60 students recorded their favourite drink. The results are shown in the pie chart.

a) Calculate the angle for the sector labelled Lemonade.

b) Calculate the number of students who chose Banana shake.

Apple juice

66°.

120°
Lemonade

Banana shake

Cola

Plz with steps urgent ​

Answers

Answer:

a) 360 -(66+120+90)=84

b)90 from 360

f x from 66

x=(90 x 66)÷360=16.5

Which of the following triangles have three sides of different lengths?
A. scalene triangle
B. acute triangle
C. right triangle
D. equilateral triangle
I will mark the brainiest if correct. Thank you.

Answers

Answer:

Sclaene triangle

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The Lines are all different angles hence they are all different lengths

The length of one of the diagonals of a rhombus is 6, and the perimeter is 20. What is the length of the other diagonal?

Answers

Answer:

4

Step-by-step explanation:

What is the volume of the cylinder? Use 3.14 for T.

Answers

Answer:

251.2

Step-by-step explanation:

V=πr²h

3.14×4²×5

I need help ASAP pls help

Answers

Answer:

tge radius is half the diameter so 1/2 of 3 1/2 =1.75 or 1 3/4

Find the solution to the system of equations.

Answers

Answer:

Step-by-step explanation:

y intercept is 0, 15

x intercept is -40,0

15/40 = 3/8

y = 3/8 x + b

15 = b

y = 3//8x + b

Answer:

x-intercept : (-40,0)  y-intercept: (0,15)

Step-by-step explanation:

I hope this helps :)

Mhanifa can you please help?

Answers

Answer:

Question 5

Sum of angles of a regular polygon is 360°

If one angle is 8°, then number of sides is:

360°/8° = 45Question 4

Sum of interior angles of a polygon with n sides:

180°(n - 2) = 5400°n - 2 = 30n = 32

Exterior angle measure is:

360°/32 = 11.25°Question 13

Sum of exterior angles is 360°

Each exterior angle is:

360°/16 = 22.5°

what of the following us a solution to the system of equations​

Answers

Answer:

(- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 3x - 2 → (1)

6 + y = - x → (2)

Substitute y = 3x - 2 into (2)

6 + 3x - 2 = - x

4 + 3x = - x ( add x to both sides )

4 + 4x = 0 ( subtract 4 from both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = 3(- 1) - 2 = - 3 - 2 = - 5

solution is (- 1, - 5 )

Choose all the statements about the hexagon that are true.

Answers

Answer:

B, D

Step-by-step explanation:

Sorry if I'm wrong. I dont know if E is right or not

Answer:

B, D

Step-by-step explanation

Write an expression equivalent to
-3 + 2/3y − 4 − 1/3 y

Answers

Answer:

1/3y-7

Step-by-step explanation:

For these kinds of problems you want to combine like terms. 2/3y and -1/3y are like terms, and when adding them together, or subtracting 1/3y from 2/3y, you get 1/3y. -3 and -4 are like terms, and adding them together gives you -7. The final expression can be written as 1/3y-7.

To write an equivalent expression, we need to simplify the given expression by combining like terms. Like terms are terms that have the same variable and exponent. We can use the distributive property to remove parentheses or other grouping signs to then combine like terms.

The given expression is -3 + 2/3y - 4 - 1/3y. We can see that there are no parentheses or grouping signs, so we can skip that step. We can also see that there are two like terms: 2/3y and -1/3y. We can combine them by adding their coefficients: 2/3 + (-1/3) = 1/3. So, we get:

-3 + 2/3y - 4 - 1/3y = -3 - 4 + (2/3 - 1/3)y = -7 + (1/3)y

This is the simplified expression that is equivalent to the given expression.

Chris types at an average speed of 50 words per minute. He has already typed 1,250 words of his final paper. The paper has to be
more than 3,750 words. Which of the following inequalities could be used to solve for x, the number of minutes it will take Chris to
type his paper?
OA. 50x > 3,750
ОВ.50x - 1,250 > 3,750
OC. 50x > 5,000
OD. 50x + 1,250 > 3,750

Answers

Answer:

D. 50x+1,250>3,750

Step-by-step explanation:

The perimeter of a rectangular painting is 364cm . If the length of the painting is 96cm, what is its width?

Answers

Answer:

The width would be 86cm

Step-by-step explanation:

Perimeter is (Width*2) +(Length*2)

Length is 96, multiply by 2 : 96*2 = 192

Subtract this from the total perimeter (364-192 = 172)

Divide this by 2 to get 1 width value (172/2 = 86)

86 cm

Please help ASAP

Extra 500 points and brainliest

Answers

Answer:

uh wut's the question?

Step-by-step explanation:

Answer:

There is no question here, what did you need help with?

Plot the square root of 9 on a number line

Answers

the answer would be 3. because 3•3=9, square root of 9= 3

Convert the equation into Standard Form.
x^2 + y^2 + 10x - 12y+45 = 0

Answers

Answer:

(x−5)^2+(y+6)^2=9

Step-by-step explanation:

how many hours do they drive

Answers

Answer:

3 good luck with the answer

Answer\

12,878,452,949,953 hours

plz leave a heart and 5 stars :-)

Sharon has a carton of quilting notions. She has a total of 52 notions. She has 16 patterns. She has three times as many thimbles as templates. How many of each item does she have?

Answers

Answer:

well if she has 52 notions and 16 patterns you will have to multiply

hhheeelllpppp pplllssss

Answers

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2


If each inch on the scale drawing equals 5
feet, what are the actual dimensions of Janet's room?

Answers

Answer:

5x feet or x times 5.

Step-by-step explanation:

Someone help me plz it’s fast easy plz

Answers

Answer:

(2,3,4)

First you take the exponent and times 2 by two then you get four then you subtract the 4 from the 1 and you get three then group thennumbers that gotten used

sin/1-cos=1+cos/sin
Can someone solve this?​

Answers

Answer:

Step-by-step explanation:

hello :

Sinx/1-cosx=1+cosx/sinx means : sin²x= (1-cosx)(1+cosx)

sin²x= 1-cos²x

sin²x+cos²x =1

Solve for x, rounding to the nearest hundredth.
70 - 2^3x = 35

Answers

Answer:

x=4.375

Step-by-step explanation:

Answer:

x= 1.71

Step-by-step explanation:

We need to isolate x in the equation, first subtract 70 from the left side, so the equation is, -[tex]2^{3x\\}[/tex]=-35. There is a negative sign in both equations so we cancel them out so our equation is  [tex]2^{3x\\}[/tex]=35. Now we use log, so our equation now looks like  {log(35)/log(2)}/3=x. When we do it out we get that x=1.70976, and when rounded we get, x-1.71.

HELP ASAP GEOMETRY 10th

Answers

Answer:

m<FEG = 23°

m<FEH = 113°

Step-by-step explanation:

A diameter is always 180° to it's corresponding arc.

The circumference or full arc of a circle is 360°.

If EG is a diameter, Arc EG is 180°.

Given that Arc EF = 134°, and Arc EG = 180°.

Arc EF + Arc EG + Arc FG = 360°.

134° + 180° + Arc FG = 360°

314° + Arc FG = 360°

–314° –314°

Arc FG = 360° – 314° = 46°

The angle formed by the two chords that make the arc is ½ the measure of that Arc.

Meaning that m<feg which is the angle formed by arc FG is ½ 46° which means that m<feg = 23°.

Given that segment EH is tangent to point E.

The rule of a segment and a tangent is that the angle formed is also ½ the measure of the arc.

This means that m<FEH = ½(Arc FG + Arc EG)

m<FEH = ½(46° + 180°) = ½(226°) = 113°

What is the mean price of $29 $58 $15 $129 $75 $22

Answers

Answer:

$32.67

Hope this helps!

Answer:

$54.6

Step-by-step explanation:

mean = add all the numbers together and divide by the amount of numbers

29+58+15+129+75+22=328

328/6= 54.6

you can put 55 it it requires you to round up

1. Write an expressions that is equivalent to k + k + k + k − 12


Please help this is due right now!!

Answers

Answer:

4k - 12

Step-by-step explanation:

k + k + k + k - 12

4k - 12

It's 4k because you're adding and not multiplying

If you were multiplying it would be k^4

5x = -5 and it has to show work pls

Answers

Answer:

x=-1

Step-by-step explanation:

5x=-5

[tex]x=\frac{-5}{5}=-1[/tex]

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