Select the solution(s) of log2x=1−log(x+4).

Answers

Answer 1

Step-by-step explanation:

log2x = 1 - log(x+4)

log2x = log10 - log(x+4)

log2x = log[10/(x+4)]

2x = 10/(x+4)

2x(x+4) = 10

2x² + 8x - 10 = 0

÷2 both sides of equation

x² + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5, 1

x isn't be -5 because logA, A need to be > 0

So, x value is 1


Related Questions

Help plzzzzz when this question ASAP

Answers

i am pretty sure this is the answer:

y=5x+4

Answer: y=5x+4

Step-by-step explanation:

There are 600 seats in the Marshall Middles School Auditorium. Students are sitting in 4/5 of the seats in the auditorium. Teachers are sitting in 55 of the seats. How many seats are not being used?

A. 60
B. 65
C. 70
D. 75​

Answers

Answer:

B. 65

Step-by-step explanation:

600 * 4/5 = 480 seats used by students

55 teachers + 480 students= 535 seats used

600-535 = 65 seats left over

please i need help if you know it please let me know how you got it if u want if u dont its finee​

Answers

x=17 - hope this helps!
To solve this we are using the Pythagorean Theorem which is c^2=a^2+b^2.

In this case the c (hypotenuse) is x. Our equation will look like this:

x^2=15^2+8^2
x^2=225+64
x^2=289
We do the square root to undo ^2
x = 17

Someone help for 5 and 6

Answers

5 is 2/5 because u find it with the change of y over the change of x



ayuda please es mi examen​

Answers

what i speak english lol xd

Answer: B. 10

Step-by-step explanation: Hope this help :D

If there are 24 cats in the exhibit, how many tigers do you have?

Answers

There would be 8 tigers in the exhibit. Hope this helps.

Answer:

8

Step-by-step explanation:

If you have 8 loins and 4 tigers you add those up, you now have 12, if you have 24 cats that means that you double that, 12 x 2 =24 (boom) so now you know you just have to double 4 into 8.

Because for every 8 loins there are there are 4 tigers.

(double trouble)

(-6-4) divided by (-5)

Answers

Answer:

2

Step-by-step explanation:

Simplify the following:

(-6 - 4)/(-5)

Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.

-6 - 4 = -(6 + 4):

(-(6 + 4))/(-5)

Hint: | Evaluate 6 + 4.

6 + 4 = 10:

(-10)/(-5)

Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.

The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):

(-2)/(-1)

Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).

(-2)/(-1) = (-1)/(-1)×2 = 2:

Answer: 2

The equivalent value of the fraction is A = 2

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

Let the denominator of the fraction be p

Now , A = p/q

when the value of p = ( -6 - 4 )

And , when the value of q = ( -5 )

On simplifying the equation , we get

A = ( -6 - 4 ) / ( -5 )

So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )

A = ( -6 - 4 ) / ( -5 )

A = ( -10 ) / ( -5 )

On simplifying , we get

Divide by -1 on both numerator and the denominator , we get

A = 10/5

A = 2

Therefore , the value of A = 2

Hence , the fraction is A = 2

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pls help me it is important

Answers

Answer:

pls help me too

Step-by-step explanation:

16. In order to get a thicker sauce, a restaurant owner combines a sauce that
is 70% tomato paste with the original sauce, which is 40% tomato paste.
How much of each should be used to make 5 L of the new 60% tomato
paste sauce?

Answers

Jshlatt said she had to take her to mommy and she was crying so she didn’t get candy for her

w
Dan's circular
pool has a
circumference of
18.84 meters.
What is the
diameter of the
pool?
(use
13.14)
IS

Answers

Answer:

6 Meters

Explanation:

Diameter = Circumference ÷ π

Circumference: 18.84

π: 3.14

18.84 ÷ 3.14

= 6 Meters

Stacey has 4 sheets of paper make cards. Each card requires 1/3 sheet of paper. How many cards can Stacey make?

Answers

Answer:

12 cards

Step-by-step explanation:

there are three 1/3 in a whole piece of paper. if we have 4 sheets and can make 3 cards out of 1 sheet, multiply 3 by 4 and get 12.

Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial. The perimeter of the triangle is (Simplify your answer.)​

Answers

Answer:

(x+5)(3x+1)

Step-by-step explanation:

Add all the sides together to get perimeter.

Then Factor once you are done adding.

You answer is (x+5)(3x+1)

The perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)

Perimeter of a triangle

The perimeter of a triangle is the sum of all the sides of the triangle.

According to the figure shown, the perimeter of the shape is given as:

P = 2x²+1 + 4x+4 + x²+12x
P =3x² + 16x + 5

Factorize

P =3x² + 15x + x+ 5

P = 3x(x + 5) + 1(x+5)

P = (3x + 1)(x+5)

Hence the perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)

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Is it true or false?

Answers

Answer:

True

Step-by-step explanation:

Circumference is diameter x [tex]\pi[/tex]

When you divide [tex]\pi[/tex], you get diameter

Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?

Answers

Answer:

something to do with sets

Step-by-step explanation:

I think {odd numbers from 1 to 15 inclusive, there is something more to it but this is just a idea

Which of the following expressions is equivalent to x+14−3x−27−11y
?

A
12x−11y−27
B
4x+11y+41
C
12x−38y
D
−2x−11y−13

Answers

Answer:

The answer is D)-2x-11y-13

Step-by-step explanation:

PLZ HELP ME I BEG OF YOU!?!

Answers

Answer:

5/9

[tex] \frac{5 \div 9}{4 \div 15} = \frac{5 \times 15}{9 \times 4} = \frac{25}{12} [/tex]

The difference between six times a
number and one is seventeen

Answers

Answer:

3

Step-by-step explanation:

17 + 1 = 18

18/6 = 3

ANOTHER 30 POINT LOGS PROBLEM
WILL MARK BRAINLIEST

Answers

what is the question??

Which polynomial function could be represented by the graph below?

On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).

Answers

Answer:

f(x) = 3(x - 3)^2 - 3

Step-by-step explanation:

Let the base function be

f(x) = ax^2

It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:

f(x) = a(x - 3)^2 - 3

It has zero's at (2, 0) and (4, 0)

Substitute and solve for a:

a(x - 3)^2 - 3 = 0a(2 - 3)^2 = 3a = 3

or

a(4 - 3)^2 - 3 = 0a = 3

So the function is:

f(x) = 3(x - 3)^2 - 3

See the attached

Answer:

f(x) = 3x2 – 18x + 24

Step-by-step explanation:

just took the test

Someone explain to me how to solve and write out an equation in slope-intercept form for example: 4x-6y=12

Answers

££€¥€€€€€££¥¥£¥¥¥¥ On chart

Answer:

y = mx + b

Step-by-step explanation

for your example:

y = 4x + 6

i think.... UHHHH

15. Asher weighs 15 pounds less than three times the weight of Audrey, his sister. Asher
weighs 27 pounds. Write an equation that can be used to find w, the weight of Audrey. Then,
solve the equation
Equation:
Solution:

Answers

Answer:

15x-y=27

Step-by-step explanation:

I think if im wrong my apologies haven't done that in a bit

The weight of Audrey will be 14 pounds based on the given equation formation.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose the weight of Asher is x then according to the given question,

x = 3w - 15

And, x = 27

27 = 3w - 15

3w = 42

w = 14 pounds

Hence "Weight of Audrey will be 14 pounds based on the given equation formation".

For more about the equation,

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In math what is 2x=y+b

Answers

Answer:

y= -2x+b

Step-by-step explanation:

Can someone explain how to do this? Will mark as brainliest

Answers

Answer: x is the angle of the tricundicular angle of the imperfect triangle. It’s like area but it’s an imperfect triangle, there’s is also 2 different numbers that u should get from this

Step-by-step explanation: pls mark brainliest

Is this relation a function?

Answers

Answer:  I dont think so

Step-by-step explanation:

this is easy for some ppl but not me

Answers

Answer:

[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]

Hope it will help :)

Answer:

-160/93

Step-by-step explanation:

reduce the expression, as long as this is possible, by canceling out common factors. Then you get -160/93

Write the equation of the line that has a slope of four and passes through the point 6,5

Answers

Answer:

4x-y=19, y=4x-19

Step-by-step explanation:

I learned a really quick way to do these in geometry.

Let's use standard form or ax+by=c.

Slope of 4:  4x - y = c.

Passes through point 6,5.

4(6) - 5 = c

c= 24-5

c=19

4x-y=19

y=4x-19

-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
) Let g be the number of gold coins Colin finds. Which inequality represents the situation?
259 > 200
259 > 200
25 +9 > 200
25+ 9 > 200

Answers

Answer:

A

Step-by-step explanation:

25g>200

so A

if my answer helps please mark as brainliest.

In this parallelogram, triangle K has an area of 29 square centimeters. What is the area, in square centimeters, of the parallelogram?


29
58
43.5
14.5

Answers

Answer:

58. cm^2.

Step-by-step explanation:

Area of parallelogram = 2 * area of triangle

= 2 * 29

=58.

Find the x- and y-intercepts of the graph of the linear equation 3x+6y=2

Answers

Answer:

x-intercept: 2/3

y-intervept: 1/3

Step-by-step explanation:

3x + 6y = 2

You're supposed to 'cover them'.

If you want to find the x-intercept, you will cover 6y like it doesn't exist. So now, it's going to be:

3x = 2

You'll then solve for x, which will be the x-intercept

3x/3 = 2/3 (Divide both sides by 3)

x = 2/3 or 0.66... (the 6 goes on forever)

Now, to find y, you'll act like x doesn't exist. It's going to be:

6y = 2

Solve for y, which will be the y-intercept

6y/6 = 2/6 (Divide both sides by 6)

y = 1/3 or 0.33... (the 3 goes on forever)

If you put them as coordinates:

x-intercept: (2/3, 0)

y-intercept: (0, 1/3)

a number m decreased by 9 is 6

Answers

Answer:

m-9=6

m=6+9=15

I think.......

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