9 to the power 18 = 27 to the power x work out the value of x

Answers

Answer 1

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

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

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

⇒  3 ^ 3x × 3^x = 3²            [ since  ( a ^m)^n = a ^mn ]

⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

⇒4x = 2                      [ since  If a ^m = a ^n then m = n ]

⇒ x = 2 / 4

 ∴ x = 1 / 2

I hope this helps you.


Related Questions

CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)

Answers

Answer:

3. 3/2

4. -1/3

5. -3.5

6. -6and 2/3

7. -18and 13/24

8. 1/18

9.-2.6

10.-1.83

11. 14.963

Step-by-step explanation:

HOPE THIS HELPS, if not see me in the comments

BRANILIEST PLZZZ

Here is a part 2 to my question

Answers

Answer:

1st is (D.) 2nd is (C.) 3rd is (D.) 4th is (A.) 5th is (C.)

. Imagine you are a restaurant owner. You are trying to set the menu price for the seared scallops with rice and mango salsa. Your item food cost is $6.78 and you set your food cost percentage to 33%. What would you set the price to be on the menu? *
1 point
$16
$18
$20
$21

Answers

The price of the food on the menu will be set at $21.

Cost of food item = $6.78

Food cost percentage = 33%

Let the price on the menu be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

= 33% × x = $6.78

33/100 × x = $6.78

0.33 × x = $6.78

0.33x = $6.78

x = $6.78/0.33

x = $20.54

x = $21 approximately

Therefore, the price of the food on the menu will be set at $21.

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PLEASE HELP ME!
Explain what the algebraic solution of a system of two linear equations is and what that means in terms of the graphs of the equations of the system. Use AT LEAST 2 complete sentence in
your explanation. (3 points)

Answers

San ine to you bhai account and I will

Which of the answer choices is a possible value for x? Select all that apply.

8x > 24


A: 2
B: 3
C: 4
D: 5
E: 6​

Answers

Answer: B: 3

Step-by-step explanation:

If x = 6 and y = -2, find the value of x + y( to the power of 2)

Answers

Answer:

Step-by-step explanation:

solve for y
110
75
100
55

Answers

They answer is 100 (can you please hit “thanks”

Answer:

100

Step-by-step explanation:

because a straight line equals 180 degrees. 25 plus 55 is 80. 180 minus 80 is 100, so the answer is 100 degrees

REALIZAR CADA ELERCICIO POR LOS TRES METIDOS EXPLICADOS EN CLASE

1.EJERCICIO 1 .
2X-Y-4Z=12

3X-4Y+2Z=-11

-5X+2Y-Z=2

EJERCICIO 2.
X+2Y+Z=1

7X+3Y-Z=-2

X+5Y+3Z=2

Answers

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / (1 ; 2 ; -3)

2. x= 3 / y= -5 / z= 8 / (3 ; -5 ; 8)

Step-by-step explanation:

                           

what is 46+56+3+17+30+

Answers

Answer:

152

Step-by-step explanation:

46+56=102

102+3=105

105+17+130=152

What is 83,505 in expanded form

Answers

Answer:

83505

Step-by-step explanation:

It's already in the expanded form...

nolan uses 7 inches of string to make each bracelet. if nolan makes 9 bracelets how many inches of string will he use

Answers

Answer:

63 inches

Step-by-step explanation:

We can write a ratio to solve

7 inches        x inches

-------------  = -------------------

1 bracelet      9 bracelets

Using cross products

7*9 = 1x

63= x

63 inches

PLEASE HELP
The area of a square is 8km. Find its perimeter.

Answers

Answer:

[tex]area = 8k {m}^{2} \\ l = \sqrt{8} \\ = \sqrt{2 \times 4 } = \sqrt{2} \sqrt{4} \\ l = 2 \sqrt{2} km \\ perimeter = 4 \times l \\ = 4 \times 2 \sqrt{2} \\ = 8 \sqrt{2} km[/tex]

the fastest moving insect is the large tropical cockroach. it scurried at speeds of up to 2.3 feet per second. how many miles, rounded to the nearest hundredth, can the tropical cockroach travel in 1 hour

Answers

2.3 times 60 seconds equals, 138. 138 times 60 minutes is 8,280. Rounded, this tropical cockroach could travel 8,000 ft in one hour!

Your cousin gave you $7.41 to buy a present. This amount covered 3/4 of the total cost. How much did the present cost?

Answers

Answer:

The answer is $5.55

Step-by-step explanation:

7.41 * 3/4= 5.5575

The present cost will be $9.88.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The amount to give cousin = $7.41

This amount covered 3/4 of the total cost.

Now,

Let the present cost = x

So, We can formulate;

⇒ 3/4 of x = $7.41

Solve for x as;

⇒ 3/4 × x = $7.41

⇒ x = $7.41 × 4 / 3

⇒ x = $9.88

Thus, The present cost will be $9.88.

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#SPJ5

Help plz i’ll give brainliest

Answers

Answer:

A is the correct answer.

Step-by-step explanation:

The translation is (-3, 6). this means you move each coordinate left three and up 6.

You could also subtract 3 from each x-coordinate and add 6 to each y-coordinate.

For the function f(x) whose graph is shown below, what is the value of f(5)?

Answers

f(5)=2 you look at the x-axis and find 5 which is in the right side then find the point on the line that touches and you will see it’s 2.

We want to look at the given graph to estimate the value of f(5). We found that: f(5) = 2

In the coordinate axis, we can see a blue curve, which represents the function f(x).

To find the value of f(5), first, we need to locate the value x = 5 on the horizontal axis.

Once we find it, we need to move vertically until we meet the curve.

Once we meet the curve, we move horizontally until we meet the vertical axis, that intersection gives the value of the function when evaluated in x = 5.

By this method we can see that: f(5) = 2

If you want to learn more, you can read:

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please help, thank you

Answers

Answer:

The solution is A. (-2,7) and C. (3,2)

Step-by-step explanation:

x+y = 5 ............(1)

x²+y = 11 ............(2)

_________________________

y = 5-x

x²+(5-x) = 11

x²+5-x-11 = 0

x²-x-6 = 0

x²+2x-3x-6 = 0

(factor statement)

x(x+2)-3(x+2) = 0

(x+2) (x-3) = 0

x+2=0 x-3 =0

x = -2 x = 3

(x1 = -2, x2 = 3)

_________________________

y = 5-x

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

= 7

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

= 2

(y1 = 7, y2 = 2)

_________________________

(x1,y1) & (x2,y2)

(-2,7) & (3,2)

So, A. (-2,7) and C. (3,2) correct

El último informe digital de Perú, publicado en el mes de febrero, reveló que hay 19,9 millones de internautas. Asimismo, hay 27 millones de usuarios activos en los medios sociales En la siguiente gráfica se presentan datos por rango de edad y género en porcentajes.
Si se desea realizar una encuesta a usuarios peruanos de las diversas redes sociales en el 2021, ¿cuál es la probabilidad de que el primer usuario que responda la encuesta sea mujer de más de 44 años?

Answers

Desde el gráfico, se encuentra que hay una probabilidad de 9.9% que el primer usuario que responda la encuesta sea mujer de más de 44 años.

------------------------

El gráfico muestra el porcentaje de usuarios de redes sociales correspondiente a características de género y edad.

De el gráfico, hay:

Una probabilidad de 5.1% que el primer usuario sea mujer entre 45 y 54 años.2.7% que sea mujer entre 55 y 64 años.2.1% que sea mujer con más de 65 años.

5.1% + 2.7% + 2.1% = 9.9%, puesto que:

Hay una probabilidad de 9.9% que el primer usuario que responda la encuesta sea mujer de más de 44 años.

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Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The following graph gibes the amount of money, in dollars, Tom owes his friend, as a function of the amount of time, in years.

Answers

The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

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kit says to pour 4 fluid ounces of juice into each bag. How many ice pop bags can you fill with 1 quart of juice?

Answers

Answer:

8 bags

Step-by-step explanation:

It is given that, a make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag.

We need to find the number of ice pop bags we can fill with 1 quart of juice.

We know that,

1 quart = 32 ounces

We have  32 ounces of juice and each bag contains 4 fluid ounces.

Therefore, 8 ice pop bags we can  fill with 1 quart of juice.

[tex]\sf 16\times 6\times 11[/tex]

Answers

Answer:

1,056

Step-by-step explanation:

16 x 6 = 96

96 x 11 = 1,056

Hey there!

16 * 6 * 11

16 * 6

= 16 + 16 + 16 + 16 + 16 + 16

= 32 + 32 + 32

= 64 + 32

= 96

= 96 * 11

= 96 * 11

= 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96 + 96

= 192 + 192 + 192 + 192 + 192 + 96

= 384 + 384 + 288

= 768 + 288

= 1,056

Therefore, your answer is: 1,056

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

what is the square root of 50?

Answers

Answer:

7.07

Step-by-step explanation:

Step-by-step explanation:

7.07

or

7.07106781187

enjoy thanks brainliest??

and yes enjo :)

The product of sum and difference of two binomial like (x+y) and (x-y) isof two squares. (FERFENCEID)

Answers

The product of sum and difference of two binomial like (x+y) and (x-y) is x² -  y²

The first number = x

The second number = y

The sum of the two numbers = x + y

The difference of the two numbers = x - y

The product of the sum and the difference = (x+y)(x -y)

Note that the product of the sum and the difference = (x + y)(x - y)

This can be expanded by distributivity as shown below:

(x + y)(x - y) = x² + xy - xy - y²

(x + y)(x - y)  =  x² -  y²

This is the difference of two squares.

Therefore, the product of sum and difference of two binomial like (x+y) and (x-y) is x² -  y²

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Please answer the math problem... I will mark you brainliest

Answers

Answer:

Step-by-step explanation:

im sorry i cant see the problem

Question Help Morgan saw 3x 10' cats in the park on Sunday. She saw three times as many cats on Monday as she saw on Sunday. How many cats did she see over the two days? Morgan saw cats over the two days.​

Answers

Answer:

60

Step-by-step explanation:

Given f(x)=-2x-1, solve for x when f(x)=-7

Answers

Answer:

The answer is -15.

Step-by-step explanation:

1. 2x - 1

2. 2(-7) - 1

3. (-14) - 1

4. -15

By plugging in our x value, we are able to use PEMDAS to  multiply 2 and the value of x and then, we subtract 1 from the value we got from step 3 to get -15.

what is the range in kilometers walked for charity

Answers

Answer:

Other events (such as charity walks) range from 20km to 100km taking a variety of times depending on the fitness and experience of the walker (average time on Oxfam 100km walk is 28-32 hours).

Step-by-step explanation:

yw!

0.941176471 to the nearest hundredth ?

Answers

0.941176471 to the nearest hundredth is 0.94

Solve the equation.
9x=25

Answers

Answer:

[tex]x = \frac{25}{9}[/tex]

Step-by-step explanation:

Divide both sides by 9 to isolate x:

[tex]\frac{9x}{9} = \frac{25}{9} \\x = \frac{25}{9}\\[/tex]

Hope this helps!

I'll be your bestie if you help me out sis !!!!! Find the surface area of the cylinder. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it makes sense!

Answers

Answer:

Surface Area of the Cylinder is 1156.11

Step-by-step explanation:

To find the Surface Area of a Cylinder, the equation given is  A = 2πrh+2πr2

Given the radius and height of the cylinder, we plug those numbers into the equation to get;

A = 2π(8)(15)+2π(8)2

= 1156.11

Answer:  

1155.52 cm²

Step-by-step explanation:

SA = LSA (Pb x h) + 2B                  

- r = 8 cm, h = 15, π (pi) = 3.14

Lateral Surface Area (LSA) = Pb (Perimeter of base) x h (height)

8 x 2 = 16 x 15 = 240 x 3.14 = 753.6

Area of the Base x 2 = πr² x 2

8² x 3.14 = 64 x 3.14 = 200.96 x 2 = 401.92

753.6 + 401.92 = 1155.52

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