assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. log8 9x

Answers

Answer 1

[tex]\textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \\\\[-0.35em] ~\dotfill\\\\ \log_8(9x)\implies \log_8(9)+\log_8(x)[/tex]


Related Questions

The radius of a circle measures 13 yd. What is the circumference of the circle

Answers

Answer:

=81.64yd

Step-by-step explanation:

c=3.14d

c=(3.14)*(13+13)

=81.64yd

A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?

Answers

Answer:

shorter piece: 2 feet

longer piece: 8 feet

Step-by-step explanation:

let the shorter piece be x

then the longer piece will be 3x + 2

if they join together:

3x + 2 + x = 104x + 2 = 104x = 10 -24x = 8x = 2

Longer piece:

3x + 23(2)+28 feet

Answer:

x+3x+2=10

4x=10-2

4x=8

x=8/4

x=2 ft. for the shorter piece./

3*2+2=6+2=8 ft. for the longer piece.

Proof:

8+2=10

10=10

Step-by-step explanation:  hope it helps u

keep smile

I need to find x, y and z. Can someone help me?

Answers

Answer:

look at the pictures

Step-by-step explanation:

It took Trinh 4 hours to ride her bicycle 48 miles. Assuming she rode at a constant speed, how many miles did she ride per hour?​

Answers

Answer:

12 mph

Step-by-step explanation:

per means divided by so

48 miles / 4 hour

12 m/h

12 mph

4/48=x/1
4(1)=48x
x=12

A quarter is tossed, then a letter from the word SNOWFLAKE is chosen. How many outcomes are possible?

Answers

Answer:

18 Outcomes

Step-by-step explanation:

When the quarter is tossed, there is a total of 2 outcomes:
Heads or Tails

When a letter from SNOWFLAKE is chosen, there is a total of 9 outcomes:

S,N,O,W,F,L,A,K,E

To find out how many outcomes are possible, we multiply the 2:

2×9=18

18 Outcomes

The area of a circle is 61.2cm2.
Find the length of the radius rounded to 2 DP.

Answers

Answer:

4.41 cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

61.2 = pi r^2

Using 3.14 for pi

61.2 / 3.14 = r^2

19.49044586 = r^2

Take the square root of each side

sqrt( 19.49044586) = sqrt(r^2)

4.414798507 = r

To 2 decimal places

4.41 = r

Please help me fill in this chart! I can't figure out the formulas!!! 15 points to whoever solves this!!!

Answers

Answer:

72, 460, 14, 2468, 245, 17, 3485, 325, 20, 4368, 234.7, 23, 5631, 23 2/3

There is a population of 5 bacteria in a colony. If the number of bacteria doubles every 31 minutes, what will the population be 62 minutes from now? Write your answer in the box

Answers

Answer:

10

Step-by-step explanation:

31 Plus 31 = 62

2 times so

5 X 2=10

How many solutions does this equation have?

–16 + 18u = 18u + 17 − 15

Answers

Answer:

No solutions

Step-by-step explanation:

Please help it's for my homework, It's easy I'm just dum...

Answers

First, since it's given the angle PRS=98 degrees we can find x.

(3x-8)+(2x+6)=98 we can solve for x

after solving this we find that

x=20

Now we can solve for angle QRS

2x+6 plug in our values and we get

40+6, which equals 46 degrees

Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game, hot dogs cost $1.25 each, hamburgers cost $2.50 each, and sodas cost $0.50 each. Each person buys one soda. They spend all $28.50 on food and soda. Determine how many different combinations, including those combinations containing zero, of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. ENTER

Answers

1.25x + 2.5y + 0.5z ≤ 28.5

is your inequality

i know the frist when is 3/14 i just need help on the decimal and precent

Answers

Answer:

3/14 in decimal is 0.21428571428571

3/14 percent is 21.4

Mrs. Smith is ordering binders for her students. Each book costs $1.75 and there is a $5.50 flat fee for shipping. Which expression represents the total cost to ship b books?
A. (1.75 + 5.50)
B. 5.50 + 1.75
C. 1.75
D. 1.75 + 5.50

Answers

Answer:

1.75b +5.50

Step-by-step explanation:

1.75b= 1.75 a book

+ 5.50 = flat rate

What is the length of the line?


hopefully you can see the lines.

Answers

Answer:

Depending on what you're looking for: 5 or -5/2

Step-by-step explanation:

If non-function, count the height in which it covers: 5

If function, find slope (rise over run): -5/2

All of the following are equivalent, except _____.

(12 + 3x) x
12 x + 3 x
(12 + 3) x
15 x

Answers

Answer:

x = 5

so that means the solution

Step-by-step explanation:

45x16+3X14+12x13=x918

The answer is:

A

Work/explanation:

Let's take the time to simplify each of these expressions and see which ones are equivalent.

[tex]\mathbb{OPTION~A}[/tex]

[tex]\sf{(12+3x)x}[/tex]

Simplify by distributing x:

[tex]\sf{12x+3x^2}[/tex]

__________

[tex]\mathbb{OPTION~B}[/tex]

[tex]\sf{12x+3x}[/tex]

Combine like terms:

[tex]\sf{15x}[/tex]

__________

[tex]\mathbb{OPTION~C}[/tex]

distribute x

[tex]\sf{(12+3)x}=12x+3x=15x}[/tex]

___________

[tex]\mathbb{OPTION~D}[/tex]

Nothing can be done to simplify the expression 15x.

Hence, the "odd one out" is A, as it's not equivalent to the others.

Question
Is it possible to construct a triangle with side lengths of 3, 6, and 9 units? If not, explain why not

Answers

Answer:

No

Step-by-step explanation:

No.

The triangle inequality theorem says that ANY two sides of a triangle MUST be greater than the third side.

In this case 3+6 is equivalent to 9 (it wouldn't be a triangle; just be a straight line), NOT greater, therefore is is not possible to construct a triangle with the given side lengths.

Hey i rlly want to be done with thiss lol don't delete;-;

Answers

Answer:

hello the correct answer is y=30x+20

Step-by-step explanation:

Each can of paint is 1,000 square inches . what is the fewest number of full cans of paint will maraina need.

Answers

Answer:

How many square feet does maraina need to fill though?

volume of cylinder is 240m find volume of the cone have same base and height


Answers

Answer:

80 cubic m

Step-by-step explanation:

If they have the same base and height, a cone always has 1/3 of the volume of a cylinder.

I will give brand list

Answers

Answer:

5/4

Explanation:

coordinates given (0,0) and (8,10)

How to find unit rate?

use this formula:

(y2-y1)/(x2-x1)

using the formula:

→(10-0)/(8-0)

→ 10/8

→ 5/4

→ 1.25

Answer:

5/4 cm/s

Step-by-step explanation:

The gradient (slope) of the line is equal to the speed of the object.

Gradient = change in y ÷ change in x

Using the two given points (0, 0) and (8, 10):

⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s

Workers in an office of 120 staff were asked their favourite type of take-away.
The results are summarised in the table.

Take-away Frequency Angle
Pizza 18
a
Curry 5
b
Fish & chips 25
c
Kebab 3
d
Other 69
e


How many degrees represent 1 person?

Answers

Angles: 42°, 114°, 24°, 30°, 150°.

The isosceles triangle has a perimeter of 7. 5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2. 1 m? 2 x minus 2. 1 equals 7. 5 4. 2 plus y equals 7. 5 y minus 4. 2 equals 7. 5 2. 1 plus 2 x equals 7. 5.

Answers

Using the perimeter formula of the Isosceles triangle the equation 2x + 2.1 = 7.5 is derived. The correct option is D.

What is the isosceles triangle?

Triangle is a polygon that has three sides. The sum of the angle of the triangle is 180 degrees. The two sides of the triangle are equal.

Given

The isosceles triangle has a perimeter of 7.5 m.

We know the perimeter of the Isosceles triangle.

Perimeter = Sum of all sides of the triangle

Let the sides be x and y and

And let y be the shortest side.

For y = 2.1 m, the equation will be

[tex]\rm Perimeter = x + x +y\\[/tex]

On simplifying the equation, we get

2x + 2.1 = 7.5

The required equation is 2x + 2.1 = 7.5.

Thus, option D is correct.

More about the Isosceles triangle link is given below.

https://brainly.com/question/7915845

A regular hexagon is divided into four triangles. Which of the following is correct?

a) ΔABF≅ ΔEDF


b) ΔFDC≅ ΔFCB


c) ΔABF≅ ΔFBC


d) ΔFDC≅ ΔBCF
Pleasee answer fastt

Answers

Answer:

b)

...............

Having drawn and labeled a diagram, like you should have.
The six sides of the regular hexagon are each 4 (24 / 6)
The sides of the the triangle are 12 (they have been trisected with a 4 unit side one of sections.
Since the area of the triangle and the area of hexagon are readily determined,
what is the total area of the little triangles?
The area of an equilateral triangle of side x is x2√3 / 4, in this case 4√3
What is the area of all three?

The sum of 3 consecutive odd numbers is 69. Find the numbers. solve the question in step-by-step

Answers

The question is related to an arithmetical sequence where common difference is 2.

(a-2) +a + (a+2) =3a=69

a=23

So three odds are

21 23 25

what is the answer to 2x-4=24

Answers

Answer:

x=14

Step-by-step explanation:

[tex]2x-4=24[/tex]

[tex]2x-4+4=24+4[/tex] (Add 4 to both sides)

[tex]2x=28[/tex]

[tex]\frac{2x}{2}=\frac{28}{2}[/tex] (Divide both sides by 2)

[tex]x=14[/tex]

~

Hope this helps!

Answer:

x=14

Step-by-step explanation:

add 4 to each side then divide by 2

Please help me with number 3

Answers

Answer:

y=x(squared) -6x+5

Step-by-step explanation:

Show work please :)
2. 1/9 x 3/4
4. 5/7 divided by 2/3
5. 7.89 - 3.9

Answers

As per questions,

2.

[tex] \frac{1}{9} \times \frac{3}{4} [/tex]

As 3 and 9 can be cancelled, we get,

[tex] \frac{1}{3} \times \frac{1}{4} [/tex]

Now multiplying denominators and numerators,

[tex] \frac{1}{12} [/tex]

Hence, the required answer is [tex] \frac{1}{12} [/tex]

4.

[tex] \frac{ \frac{5}{7} }{ \frac{2}{3} } [/tex]

When the base denominator (2/3) is reciprocaled,

[tex] \frac{5}{7} \times \frac{3}{2} [/tex]

As we can't directly divide, so we can multiply them,

[tex] \frac{5 \times 3}{7 \times 2} [/tex]

[tex]→ \frac{15}{14} [/tex]

Hence, the required answer is [tex] \frac{15}{14} [/tex]

5)

[tex]7.89 - 3.9[/tex]

Direct subtraction, (Check solution in attached image)

[tex]→3.99[/tex]

Please due tomorrow!!!!!!

Answers

Answer:

B. -94.94

Step-by-step explanation:

Substitute given value into function and evaluate

Answer:

-94.94

Step-by-step explanation:

The answer is -94.94. First you put -4.2 as x, so 23.2*-4.2 which gives you -97.44. Then you do (-97.44)+22.5. Which gives you the answer -94.94.

uiz / 3 of 5
Two different cell phone companies charge a monthly fee, plus a cost per text message. Cell phone company M charges a monthly fee of
$10, plus $0.15 per text message. The table below shows monthly charges of cell phone company N based on the number of texts.
Phone Company N
Number of Monthly
Texts
Charge
(x)
(y)
25
$17.50
50
$20.00
75
$22.50

Answers

Answer:

$22.50....................

22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?

Answers

Answer:

15.31

Step-by-step explanation:

Once again, If you divide 333 chocolates by 22 people you will have 15.31 chocolates per person

Answer:

For the dude above or below me he ment 3 and 2 not 22 and 333 he copy and pasted it

Step-by-step explanation:

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