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

Write as a fraction with a whole number divisor: 35.7 ÷ 0.07

Answers

Answer:

510  

that the whole number

Given that a = 6 cm and b = 5 cm,
work out the height of the triangle.​

Answers

Do you have a diagram?

The height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We can draw a right angle triangle to find the hieght of the triangle.

Applying Pythagoras theorem.

Let h be the height:

b² = (a/2)² + h²

5² = (6/2)² + h²

5² = (3)² + h²

h = 4 cm

Thus, the height of the triangle is 4 cm if the a = 6 cm and b = 5 cm and applying Pythagoras theorem.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/21511305

#SPJ2

PLEASE HEKLPP
IF ITS RIGHT ILL GIVE BRSAINLIEST

Answers

Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

f(-1) = 4(-1)² - 1

f(-1) = 4(1) - 1

f(-1) = 4-1

f(-1) = 3

so

h(f(-1)) = h(3)

now substitute h = 3 in the function h(x) = 2(x - 4)³

h(x) = 2(x - 4)³

h(3) = 2(3 - 4)³

h(3) = 2(-1)³

h(3) = 2(-1)

h(3) = -2

Thus,

h(f(-1)) = h(3) = -2

Hence, we conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

A bag contains 6 red marbles , 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow marble from the bag?

Answers

Answer:

1/3

Step-by-step explanation:

each color takes up 1/3 of the bag

Answer:1/3

Step-by-step explanation:6x6x6=18 divided by 6=3

Write an equation of the line (0,2) and (3,3) in slope intercept form

Answers

Answer:

y = 1/3x + 2

Step-by-step explanation:

slope formula: (y₂ - y₁) / (x₂ - x₁)

(0, 2) & (3, 3)

Plug the values in.

(3 - 2) / (3 - 0)

Simplify the parentheses.

1/3

This fraction is fully simplified.

Your basic slope intercept form equation is: y = mx + b.

m is the slope, which is 1/3.

y = 1/3x + b

b is the y-intercept, which is y-value when x = 0.

From one of the points given, we can see that the y-intercept is 2.

Therefore, your equation is: y = 1/3x + 2

Check your answer with the other point.

3 = 1/3(3) + 2

3 = 1 + 2

3 = 3

Your equation is correct!

Hope this helps!

calculate the value of 1/3 a = -5

Answers

Answer:

- 15

Step-by-step explanation:

[tex] \frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15[/tex]

Answer:

-15

Step-by-step explanation:

As you can see, the denominator of 1/3 is 3. 1 third of a is -5. So what you do is, you multiply -5 * 3 and that'll give you -15. So, it is equal to -15.

Here is a sequence of numbers:
1
3
6
10
15
What is the name given to these numbers?

Answers

Triangular number sequnce

how to expand and simplify 3(m + 2) + 4(6 + m)

Answers

Answer:

7m+30

Step-by-step explanation:

i need help asap. Thank you ​

Answers

Hahah the title but I would help but I can’t

what is 26453 x 45=??????????????????

Answers

Step-by-step explanation:

11,90,385 is the correct answer.

PLEASE THANK, RATE AND FOLLOW ME,

AND PLEASE MARK ME AS "BRAINLIEST" ANSWER

HOPE IT HELPS YOU

Answer: The answer to that is 1190385.

Anya says, "62,996 rounds to 63,000"
Select all the places to which she could
have rounded the number.
Answers:
ones
tens
hundreds
thousands
ten thousands

Answers

Answer:

hundreds

Step-by-step explanation:

hundreds because in the hundreds place in the number 62996 there's number 9, which it's greater than 4, so it will add 1 to the thousands and all the numbers in the right will be zero

the solution to the equation?

Answers

x=5
add like terms :)

π/4 equals how many degrees?


270


90


45


360

Answers

Answer:

your answer would be 45 :)

Step-by-step explanation:

2 ( 2q + 1.5 ) = 18 - q
q equals to what

Answers

Answer:

4

Step-by-step explanation:

bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 2 to 3. What percent of the blankets in the bin are blue?

Answers

66 percent because when u have an fraction 2/3 is 66 so the answer is 66 percent

Answer:

Step-by-step explanation:Answer

5.0/5

1

minashi

Beginner

7 answers

44 people helped

Step-by-step explanation:

13=blue blankets 7=red blankets

First, we need to know how many blankets there are in total.

13+7=20

Now, we don't need the seven anymore. Our ratio is blue blankets to total blankets.

13/20

Now, we need to know how many blue blankets there are in percentage.

13/20 = x/100

Next step: 13 times 100 is divided by 20

x= 13(100)÷20

x=1300÷20

x= 65

Given the following functions, find the indicated values.
f(x) = 9 - 3x
(a) f(-4) (b) f(0) (c) f(2)

Answers

Answer:

hope it helped have a good day mate

Factoring.

The answer is supposed to look like this.

EXAMPLE:

5x(6x+2)(6x-2)

Answers

Answer:

3(5x+3)(5x-3)

Step-by-step explanation:

75x^2-27=3(25x^2-9)=3(5x+3)(5x-3)

why is my food yellow

Answers

Answer:

well what are you eating?

Step-by-step explanation:

Answer:

bc I peed on it and bc of my stretchy cheese!!!!!!

Step-by-step explanation:

A single card is drawn from a standard 52 card deck.
Work out the probability of choosing "a club".
Give your answer in its simplest form.
Help pleaseee

Answers

13 clubs in a deck
13/52
.25
Or 25% of drawing a club

-) Select all ordered pairs that satisfy the function y = 5x + 3.
A.
(-3, -37)
B.
(-5, -22)
C.
(-8, -37)
D.
(-5, -12)

Answers

The answers that would work are B and C

What is the scale factor in the dilation?

1/6

1/3

3

6

Answers

The scale dilation is 3.
Explanation:
The pre- image has a length of 3 and the image has a length of 9. 3 * 3 = 9
The pre-image has a height of around 2.66666 repeating and the image has a height of 8. 2.666 repeating * 3 ≈ 8

Answer: yes its 3! I took the test its 3

Step-by-step explanation:

Amanda saves $15 per week for her summer vacation. Write an equation that she can use to.Find S, her savings after W weeks

Answers

Answer:

S= 15W

Step-by-step explanation:

Given data

We are told that Amanda saves $15 per week for her summer vacation

Let her total savings be S

and the number of weeks be W

Hence the expression for her savings is

S= 15W

A sphere has a volume of 4,500 cubic feet. Find the radius of the sphere.

Answers

Step-by-step explanation:

Volume of a sphere is

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

We are given the volume, v, and asked to find the radius, r.

Substitute 4500 ft^3 for v, solve for r.

[tex]4500 = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Multiply both sides by 3/4 to eliminate 4/3

[tex] \frac{3}{4} \times 4500 = \frac{4}{3} \times \pi \times {r}^{3} \times \frac{3}{4} [/tex]

[tex] \frac{13500}{4} = \pi \times {r}^{3} \: \\ then \: divide \: by \: \pi[/tex]

[tex] \frac{3375}{\pi} = {r}^{3 \: \: take \: the \: cubed \: root \: of \: both \: sides} [/tex]

[tex] \frac{ \sqrt[3]{ {15}^{3} } }{ \sqrt[3]{\pi} } = \sqrt[3]{r} [/tex]

[tex] \frac{15}{ \sqrt[3]{\pi} } = r [/tex]

That approximates to 10.27 ft^3

geometry please help me thank you

Answers

Answer: For first blank: GNS

P = N G = P S = R

HELP NEED THIS NOW
A laptop has a listed price of $804.99 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$867.37

Step-by-step explanation:

tax rate = 7.75%sale prize = $804.99tax = (804.99 × 7.75) / 100 = 62.38amount with tax = $804.99 + $62.38 = $867.37

MARK ME AS BRAINLIST

In the figure, j∥k and m∠1 = 63°.

What is the m∠4?

Enter your answer in the box.

°

Answers

Answer:

∠ 4 = 117°

Step-by-step explanation:

∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then

∠ 4 = 180° - 63° = 117°

Answer: The answer is 117

Step-by-step explanation: I just took the Quiz hehe lol

A rectangular prism is made up of 32 cubes, each measuring 1 4of a foot per side. What is the volume of the rectangular prism?

Answers

Answer:

quick question that 1 4 supposed to be a fraction? as in 1/4?

simplify lol
.......

Answers

Answer:

duck off dude

Step-by-step explanation:

What is the length of r and t ?

Answers

Correct answer is going to be D

what is the value of p so that the expession 6x+3-(8x-5) is equivalent to (px+8)?​

Answers

Answer:

-2

Step-by-step explanation:

The first equation simplifies to -2x+8 so p should be replaced with -2

The value of p so that the expression 6x+3-(8x-5) is equivalent to (px+8) is, -2

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

An expression,  6x+3-(8x-5)

another expression, (px+8)

Value of p for which both the expressions are equivalent = ?

So now, we can compare both the expressions

⇒   6x+3-(8x-5)

⇒  6x+3-8x+5

⇒  -2x+8

if compare it with (px+8)

then, p = -2

Hence, the values of p is -2

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

Other Questions
diferencias de la antigua atena Write an equation of the line that passes through the given point and is parallel to the given line. (4,7),y=5x-3 Divide.511411Enter the correct answer in the box. What is the adjective in the sentence My uncle has attempted the dangerous ascent of Mount Everest? There are two ways of spreading light: to be the candle or the mirror that reflects it. Edith Wharton Remember that ;) Who was left out of the Golden Age? help me with the chart only!! I can do the graph myself! Please help!!! It's Due TODAY!!! Imagine a made up polyatomic ion called tritoborate. Calcium tritoborate has the formula Ca2B3O8.a. What is the formula for tritoborate? You must include the charge (both the sign and themagnitude). (2 pts)b. Write both the formula and the name for the compound formed when Fe3+ combineswith tritoborate? (2 pts) In medieval towns, the townspeople paid_____ to the lord in exchange for basic rights.A. taxesB. wagesC. cropsD. homage What is the sum of 1/8 + 5/16 + 3/8A. 9/32B. 13/32C. 9/16D. 13/16 What is the difference between environmental science and environmentalism? Which of the hhh-values satisfy the following inequality?6\geq\dfrac h26 2h 6, is greater than or equal to, start fraction, h, divided by, 2, end fractionChoose all answers that apply:Choose all answers that apply:(Choice A)Ah = 12h=12h, equals, 12(Choice B)Bh = 14h=14h, equals, 14(Choice C)Ch =16h=16 Dion builds a pattern that is represented by the equation b equals 2 F + 6 where f is the figure number of the pattern and B is the number of blocks in each figure. How many blocks are needed to make the 9th figure in the pattern? What do you have to be aware of when assessing the credentials of a person making a claim about aproduct? car travels along the highway to Yuma at a steady speed when it begins it is 400 miles from Yuma after 7 hours it is 50 miles from Yuma which function describes the cars distance from Yuma under british occupation, waves of jewish immigrants poured into palestine to ____ in europe which one is correct The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD PLEASE HELP DUE TOMORROW!what are the advantages of harvesting more crops and trees to reducing carbon emissions?And what are disadvantages of harvesting tree and crops for reducing carbon emissions? What are some facts about Mary Jackson