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

HELP HELP! WILL GIVE BRAINLIEST! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.

Answers

Answer:

17.38cm²

Step-by-step explanation:

hope this helps...

The average weight for three children was 79.6 pounds. What was the sum of their
weight?

Answers

Answer: 238.8

Step-by-step explanation:

To get an average, you add the weights together, the sum. And then you divide by how many children there was.

To go backwards, you'd times the average by the amount of children there were, 3, to get the sum

79.6 times 3 is 238.8

A gaming
console costs
$300 and has
8% tax. How
much is the tax?

$30 or $24?

Answers

Answer:

24

Step-by-step explanation:

8 percent of 300 is 24.

that should be right

Answer:

$24

Step-by-step explanation:

The tax is how much more you have to pay based on a percentage of the initial cost. The tax percent in this case is 8%. Since the console costs $300, we take 8% of $300 and charge it as the tax.

$300 * 8% = $300 * 0.08 = $24

If done by hand,  move the decimal place on 0.08 to the left 2 times

0.08

00.8

008

This will give you 8. Multiply 8 by $300 which will give you $2400, next move the decimal to the right 2 times.

$2400.

$240.0

$24.00

Now you have $24

Marcy needs 150 feet of fabric for her project. She uses 20% of it. How many feet of fabric did she use for her project so far? You may use a bar model or double number line.

Answers

Answer:

The answer is 120 feet of fabric

Answer:

30 feet.

Step-by-step explanation:

Steps

First, convert the percentage discount to a decimal. 20 percent of 150 is 0.20 in decimal format.

Secondly, multiply the decimal discount by the price of the item to determine the savings in dollars.

In this case, the original fabric needed equals 150 feet, you would multiply 0.2 by 150 to get the answer.

Solution

20 percent *150 =

(20:100)*150 =

(20*150):100 =

3000:100 = 30

Therefore, she used 30 feet for her project so far.

Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.

What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)

Answers

Answer:

226.7 cm³

Step-by-step explanation:

The cone volume formula is V = (1/3)(base area)(height).

Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³

Sarah is filling 6 vases with water. Each vase will get of a liter of water. How many liters of water will be in the 6 vases? A. B. C. D.

Answers

Answer: 6 liters

Explanation:
The problem says “each vase get of a liter of water” that mean in each vase it contains only one liter of water, since there are 6 vase. You would multiple 6 by 1 to get 6 liters in 6 vases.

26^(9/5) in radical form​

Answers

Just remove the parentheses, hope that helps

Answer:

[tex]\\\sqrt[5]{26}[/tex] ^ 9

Step-by-step explanation:

we can rewrite as  (26^1/5)^9  then u can write it as [tex]\\\sqrt[5]{26}[/tex] ^ 9

BOOSH mathz

What choice below best explains why two Hydrogen atoms below would bond together?

Answers

Answer:

QUESTION:

What choice below best explains why two Hydrogen atoms below would bond together?

ANSWER:

covalent bond

The bond joining two hydrogen atoms in a hydrogen gas molecule is a classic covalent bond. The bond is easy to analyze because the hydrogen atoms only have one proton and one electron each. The electrons are in the hydrogen atom's single electron shell, which has room for two electrons.

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Question 3
Based on your observations, what can you conclude about the relationship between the area of the sector, the measure of the corresponding central angle, and the are of circle?

Answers

Answer: The area of a sector is a fraction of the area of the circle. The fraction is equal to the ratio of the measure of the sector’s central angle to one full rotation, or 360°.

Step-by-step explanation:

A car company is trying out a new promotion where they give the customer 6 candy canes if they buy a set of four new tires. What is the ratio of candy canes to tires.

Answers

Answer:

6:4

Step-by-step explanation:

Can someone answer this question please, and also show the work.

The question: x+5<6

Answers

Answer:

x<1 I believe.

Step-by-step explanation:

Subtract -5 from 5 and do the same with the other side making the other side 1. So you get left with the answer.

9
Find mZWVT
T
35x-2
U
93 °
W
V
7x + 5
mZWVT =

Answers

Answer:

40

Step-by-step explanation:

[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]

[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]

[tex]17.5x - 47.5 = 7x + 5[/tex]

[tex]17.5x = 7x + 52.5[/tex]

[tex]10.5x = 52.5[/tex]

[tex]x = 5[/tex]

Plug 5 in for 7x+5.

[tex]7(5) + 5 = 40[/tex]

PLEASE NO LINKS.
Rewrite without absolute value for the given conditions:
y =|x −3|+|x +2|−|x −5|, if x < −2

Answers

Answer:

y = -x - 4

Step-by-step explanation:

y =|x −3|+|x +2|−|x −5|, if x < −2

let x = -1

y1 =|x −3|

y1 = - ( x - 3 ) = -x + 3

y2 = |x +2|

y2 = - (x +2) = -x - 2

y3 = |x −5|

y3 = - (x −5) = -x + 5

y = y1 + y2 + y3

substitute back into original

y = -x + 3 - x - 2 - (-x + 5)

y = -x + 3 - x - 2 + x - 5

y = -x - 4

Solve for x. Round answer to the nearest tenth

Answers

Answer:

Hiiiii ,i neeeeeed your help :

b) Match the lines from the song with the corresponding events and dates in American history.

Thaaaaaaaaanks you veryyyyyy veryyyyy muuuuuuuch

what is 5x – 9 + 2x – 4 = 9.4

Answers

Simplifying
5x + -9 = 38

Reorder the terms:
-9 + 5x = 38

Solving
-9 + 5x = 38

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 5x = 38 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 38 + 9
5x = 38 + 9

Combine like terms: 38 + 9 = 47
5x = 47

Divide each side by '5'.
x = 9.4

Simplifying
x = 9.4

Answer:3.2

Step-by-step explanation:

3.2 because x =16/5=3 1/5=3.2

Convert the following to logarithm form. *PLEASE GIVE EXPLANATION*

Answers

log2 (32) = 5 ..................

HELPPPPPP ME PLSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

D. b and c

Step-by-step explanation:

Guys pls help me!!!!!!

Answers

Answer:

This would be graph A

Step-by-step explanation:

x = 2  means that it is a vertical ( up and down) line

It is a x=2

This would be graph A

15 POINTS!!!! HELPP PLEASEE QUICK I NEED IT NOWW PLSS I POSTED THIS SO MANY TIMES PLSSS NO LINKS NO BOT OR ANSWERS JUST TO GET POINTS I WILL REPORTT!! Which of the following equations describes the line shown below? Check all
that apply.
(-6,2)
(-1,-4)

Answers

Answer:

Pretty sure its A and B

Step-by-step explanation:

Slope is -6/5, so that leaves just A B and E

Plugged it in, only A and B were correct

Devontae and three of his friends drive the Pennsylvania Turnpike from Ohio to New Jersey. If they split the $47.00 toll equally, how much does each person pay?

Answers

11.75 each 47 divide by 4

Pls help me i need help iwiill give you points

Answers

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area

Step-by-step explanation:

Use the distance formula to slove how far the points are on the a coordinate plane. Points are (7,5)(3,2)

Answers

Answer:

distance is 5 units

Step-by-step explanation:

plug in values

7. Which two shapes have a line of symmetry?

Answers

Answer:

c and d

Step-by-step explanation:

when cut in half, both shapes are the same

Solve the equation using the distributive property and properties of equality. 2 (x minus 8) = 68 What is the value of x?

Answers

Answer:

x=42

Step-by-step explanation:

2(x-8)=68

Distribute the 2

2x-16=68

Use the addition property of equality (add 16 to both sides)

2x=68+16

2x=84

Use the division property of equality (divide both sides by 2)

x=84/2

x=42

The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greater than 152 ​inches?

Answers

Answer:

35

Step-by-step explanation:

35 is exactly 152 but since its asking for greater then you're right it is 36.

But since it says '>' it means not equal to so it would be:

x > 35

or

x ≥ 36

What's the constants of 5x + 4 + 7x

Answers

the constant / the answer is 4

Answer:

4

Step-by-step explanation:

the constant is a number that never changes

232.7449 rounded to the nearest whole number? please help​

Answers

Answer:

233

Step-by-step explanation:

Look at the tenths place. It is above 5 so you round to 233,

Answer:

233

Step-by-step explanation:

Simple, 7 is closer to 10 than 0, round up to 233.

Find the roots: x^2−12x+32=0​.

Enter your answers in the boxes (numbers only).

Answers

The answers are 4 and 8.

Because:

x^2 - 12x + 32 =

(x - 4)(x - 8)

x - 4 = 0

   +4    +4

x = 4

x - 8 = 0

  +8    +8

x = 8

How big is a normal Pp? Also look down

Answers

Answer:

i can see the image is not there

Step-by-step explanation:

Answer:

whoa sus

Step-by-step explanation:

⚠️15 points⚠️ The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week? ​

Answers

Answer:

Where is the picture? I can help

Step-by-step explanation:

Answer:

$7

Step-by-step explanation:

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