Which equation is equivalent to
log3(2x4 + 8x3) – 3log3x = 2log3x?

Answers

Answer 1

Answer:

the answer is log3 (2x+8)=log3 x²

Step-by-step explanation:

log3(2x^4+8x^3)-3log3x=2log3x

simplifying the above we get:

log3(2x^4+8x^3)=2log3x+3log3x

log3(2x^4+8x^3)=5log2x

Hence the answer should be:

log3 (x³)*(log3(2x+8))=5log3 x

3log3 x+log3(2x+8)=5log3 x

log3(2x+8)=5log3 x-3log3 x

log3 (2x+8)=2log3 x

log3 (2x+8)=log3 x²


Related Questions

Answer this following equation. What's 2 + 10/10?

Answers

Answer:

i believe 10/10 is just 1 so i think 3

Step-by-step explanation:

2 + 10/10 = 2 + 1

Answer:

I'm not so sure, but I think it's 3.

Step-by-step explanation:

10/10 is equal to one whole, 1.

So you rewrite the equation:

2 + 1 = 3.

I hope this helps!

A line passes through the points (-3,4) and (-8,14). Find this line’s slope. If the slope does not exist, you may enter DNE or NONE.

Answers

Answer:

-2

Step-by-step explanation:

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{14 - 4}{ - 8 - ( - 3)} [/tex]

[tex] = \frac{10}{ - 8 + 3} [/tex]

[tex] = \frac{10}{ - 5} [/tex]

= -2

The sales tax on a $120 bill is 7.25%. After a coupon discount of 10% off the total cost with tax, what was the final amount of the bill?

Answers

Answer:

$115.83

Step-by-step explanation:

$120 * 1.0725 = Amount including Sales Tax

= $128.70

Discount of 10% =

$128.70 * 90%

= 115.83

pls pls pls pls pls help me out​

Answers

12% is the percent decrease

95,920 is 88% of 109,000.
x/100 = 95,920/109,000

95,920 x 100 = 9,592,000

9,592,000 / 109,000 = 88

100 - 88 = 12

Since it is 88% of it, it decreased by 12%

Answer:

12%decrese

Step-by-step explanation:

percentage decrease=13080/109000 ×100

=12% decrease

Mark me brainliest.

While working on homework last night, Kayla completed 4 homework assignments in 3.2 hours. The same night, Karen completed 6 homework assignments in 5 hours. Who spent the least amount of time on homework per hour?

Answers

Answer:

Kayla

Step-by-step explanation:

To find who spend the least amount of time on homework per hour, divide the number of hours by the amount of homework

Kayla: 3.2 ÷ 4 = 0.8

Karen: 5 ÷ 6 = 0.833

Since Kayla's number is lower, that means she spent fewer hours per homework than Karen. This means Karen spent the least amount of time in hours per homework.

Write the ratio of 15 pencils to 2 erasers in simplest form.

Answers

the answer is 15:2, hope this helps
The answer would be 15:2. It can one simplified down anymore

Please help! I’ll give you brainliest immediately

Answers

For the lines to be parallel the two angles need to be equal to each other:


128-x = x

Add 1x to both sides

128 = 2x

Divide both sides by 2:

X = 128/2

X = 64


Answer: x = 64

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS

Answers

Answer:

(-2,-6) on point

Step-by-step explanation:

Mark me brainliest!!

Answer:

(2,-2)

Explanation:

vertex after translation:

original position + translation unit

( 2 , -6 ) + ( 0 , 4 )

( 2 , -2 )

note: vertically means only up and down, there is will change in y not x.

13

__ W=130 what is W

10 15 Points if you answer

Answers

W=130

Step-by-step explanation:

the question giving says_W=130and if minus is crossing to the other side it becomes+

PLS HELP ILL GIVE BRAINLIEST!

Answers

Answer:

    x     21/9

9    9x     21

Step-by-step explanation:

I need help with 6.

Answers

Answer:

a squared + (b+c)2

Step-by-step explanation:

Can someone answer this question

Answers

i think the answer is B

The fence around a rectangular horse ranch is 450 m long. If the ranch is 80 m wide, fine its area.
Who will give me correct answer I will make him/her Brainlistest.​

Answers

the total length of the fence is 450 m

2L + 2W = perimeter

2l + 2w = 450
2l + 160 = 450
2l = 290
l = 145

area = (145)(80)
= 11,600 m^2

Answer:

36,000

Step-by-step explanation:

Area formula- A=LW (length x width)

450 (length) x 80 (width)

450

 80

-------

36,000

(45 x 8 and add two zeros :))

Estimate the size of a crowd at a political rally that occupies a rectangular space with dimensions of 500 feet by 600 feet (to the nearest whole number). Assume that each person occupies 4. 5 square feet.

Answers

The size of a crowd at a political rally which occupies a rectangular space with dimensions of 500 feet by 600 feet is 66667 persons.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The size of a crowd at a political rally that occupies a rectangular space with dimensions of 500 feet by 600 feet has to estimated.

First find out the area of this rectangular space using the above formula.

[tex]A=500\times600\\A=300000\rm\; ft^2[/tex]

As each person occupies 4.5 square feet. Thus, the number of person feet in, 300000 square ft are,

[tex]n=\dfrac{300000}{4.5}\\n\approx66667[/tex]

Thus, the size of a crowd at a political rally which occupies a rectangular space with dimensions of 500 feet by 600 feet is 66667 persons.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

If the measure of ZB is 40°, what measures can ZA and
C be? Select the three correct answers.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°

Answers

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°

Sandra manages to save 25% of her daily allowance. After 14 days, she has saved RM28. How much is her daily allowance? ​

Answers

Let her daily allowance be RMy.

0.25y x 14 = 28

0.25y=2

y=8

Therefore, her daily allowance is RM8.

Answer:

[tex]x=8[/tex]

Step-by-step explanation: [tex]25[/tex]%[tex]\times14\times[/tex][tex]x=28[/tex]

Solve the equation

[tex]0.25\times14x=28[/tex]

Multiply the monomials

[tex]3.5x=28[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{28}{3.5}[/tex]

Multiply both the numerator and denominator with the same integer

[tex]x=\frac{280}{35}[/tex]

Cross out the common factor

[tex]x=8[/tex]

I hope this helps you

:)

Y = 2/3x + 20
When x = 21

Answers

Answer:

34

Step-by-step explanation:

the answer to the problem 34

ILL GIVE 50 POINTS FOR GOOD ANSWER. 92 8/9 - 43 5/6 Enter your answer in the box as a mixed number in simplest form.
Pls, help me If you do your best!

Answers

Answer:

49 1/8

Step-by-step explanation:

92 8/9 - 43 5/6

Subtract the whole numbers

92 - 43 = 49

Find the LCD of 8/9 and 5/6 and rewrite to solve with the equivalent fractions.

16/18 − 15/18= 1/18

Combining the whole and fraction parts.

49 + 1/18 = 49 1/18

Answer:

49 1/18

Step-by-step explanation:

First, we can start off by rewriting our equation with parts separated.

92 - 43 + 8/9 - 5/6

Solve the whole numbers

92 - 43 = 49

Solve the fractions using LCD

8/9 - 5/6 = 1/18

Combine the whole and fractions

49 1/18

please answer quick!
Anitra sells cosmetics by mail and weighs each package before sending it.
The table shows the number of each item in a particular package and the total weight.

The system of equations can be used to show the relation between the items in a package and the weight of the package.

Answers

In the system of equations, x represents the weight in ounces of each bar of soup.In the system of equations, y represents the weight in ounces of each bottle of lotion.The ordered pair that is a solution to the system of equations is given as follows: (4.5, 7.5).

How to solve the system of equations?

The system of equations for this problem is defined as follows:

3x + y = 21.2x + 2y = 24.

From the first equation, we have that:

y = 21 - 3x.

The second equation is given as follows:

2x + 2y = 24.

Simplifying the equation, we have that:

x + y = 12.

Replacing the first equation, we have that the value of x is obtained as follows:

x + 21 - 3x = 12

2x = 9

x = 4.5.

Then the value of y is of:

4.5 + y = 12

y = 7.5.

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Answer:

In the system of equations, x represents the weight in ounces of each bar of soup.

In the system of equations, y represents the weight in ounces of each bottle of lotion.

The ordered pair that is a solution to the system of equations is given as follows: (4.5, 7.5).

Step-by-step explanation:

Maria has $32. She earns $12 for 1 hour of cleaning. She wants to buy a birthday gift for her friend for $125. Enter the minimum number of hours Maria must tutor to be able to buy the gift

Answers

Answer:

8 hours

Step-by-step explanation:

First, you must subtract $32 from $125. You end up with $93.

Usually, you would do 93 divided by 12, but 93 is not a multiple of 12.

96, which is 12 times 8, is the closest to 93, so 8 hours is the correct answer.

16.5 is 12% of what number?

Answers

Answer:

Let's set up an equation;

12/100 * x = 16.5

where 12/100 is 12%

x is the number of the 12%

that would equal 16.5

So solve for x;

12/100 * x = 16.5

12/100x = 16.5

0.12x = 16.5

/0.12    /0.12

x = 137.5

Joseph lights a candle which is 7cm high. Every 30 min, he measures the the candle and records it on the graph. what is the line equation for height of candle

Answers

y= 7- ( the length of candle decreased for 30 min)x

Solving Systems of linear equations by graphing. no graphing device.

Answers

Infinitely many solutions.

Explination

The lines are the exact same

QUICK whoever gives correct answer will get brainliest please and thank you.​

Answers

Answer:

B

Step-by-step explanation:

This is a distance versus time graph. The slope on a given interval gives you speed.

So if the slope is going upwards, the speed is increasing which means it isnt constant

If going downwards, the speed decreasing, which means it isn't constant

If forming a horinzontal line, it has slope of 0, which means that it has a constant speed

The only time speed is constant is at 4.

B is the answer

how do i find the answer to this

Answers

Look it up sorry it might be like 30

You and a group of friends take a trip to the Coastal Carolina Fair
for the day. You each have to pay $12 for admission, a, and $5 per
ticket book, t. You spent a total of $90. Write an equation in two
variables that represents the relationship between the cost of
admission and cost of ticket books.

Answers

Answer:

90 = a + t

Step-by-step explanation:

admission + ticket book = $90


Can someone please answer this

Answers

Answer: I think it’s solid B

Step-by-step explanation:

solid B is easy to read and you can find carpet of those measurements a lot easier then solid A or C

Muriel has kept track of her income and expenses for the week in the spreadsheet below. How much was Muriel’s restaurant bill? A 3-column table with 7 rows showing transaction, amounts, and totals. Beginning balance total is 380 dollars and 29 cents. Transaction amounts are Interest income 18 dollars and 10 cents, groceries negative 61 dollars and 39 cents, restaurant bill blank, paycheck 476 dollars and 24 cents, gas negative 35 dollars. Ending balance total is 735 dollars and 69 cents. A. $17. 66 b. $42. 55 c. $6. 35 d. $112. 55 Please select the best answer from the choices provided A B C D.

Answers

If Beginning balance total is 380 dollars and 29 cents. Transaction amounts are Interest income 18 dollars and 10 cents, groceries negative 61 dollars and 39 cents paycheck 476 dollars and 24 cents, gas negative 35 dollars. Ending balance total is 735 dollars and 69 cents then Restaurant bill  is 42.55

What is ending balance ?

Ending balance is remaining balance in the end after all the deduction .

Given that

Beginning balance total is 380 dollars and 29 cents.

Transaction amounts are Interest income 18 dollars and 10 cents,

Groceries negative 61 dollars and 39 cents

Paycheck 476 dollars and 24 cents

Gas negative 35 dollars.

Ending balance total is 735 dollars and 69 cents

Ending balance = Beginning balance + Income - Expenses

Ending balance = Beginning balance + Interest income + Paycheck - Groceries - Restaurant bill - Gas

735.69=380.29+18.10-61.39+476.24-35-Restaurant bill

Restaurant bill =42.55

If Beginning balance total is 380 dollars and 29 cents. Transaction amounts are Interest income 18 dollars and 10 cents, groceries negative 61 dollars and 39 cents paycheck 476 dollars and 24 cents, gas negative 35 dollars. Ending balance total is 735 dollars and 69 cents then Restaurant bill  is 42.55

To learn more about Ending balance visit : https://brainly.com/question/1261676

3^4 + 3 x 5 =
(the '^4' is an exponent)

Answers

Answer:

96

Step-by-step explanation:

3^4 = 3*3*3*3 = 9*9= 81

3*5=15

81 + 15 = 96

Hope this helps!!

[tex]\bold{Heya~!}[/tex]

Your answer will be is :

[tex]\sf{= \: 81 \: + \: 3x^5}[/tex]

[tex]\huge \boxed {\underline{Explanation:}}[/tex]

[tex]\sf{3^4 \: + \: 3x^5}[/tex]

[tex]\sf{3^4 \: = \: 81}[/tex]

[tex]\sf{= \: 81 \: + \: 3x^5}[/tex]

Hope It Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

Jace ~

Factor completely 5x4 − 80. 5(x2 − 4)(x2 4) 5(x − 2)(x 2)(x 2)(x 2) 5(x − 2)(x 2)(x2 − 4) 5(x − 2)(x 2)(x2 4).

Answers

Polynomials are expressions. The factorized form of the polynomial is 5x⁴-80 is 5(x⁴-16).

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to factorize the given polynomial, we need to take the common terms out of the polynomial. Therefore, the polynomial can be written as

[tex]5x^4 - 80\\\\[/tex]

If we look at the polynomial the common term 5 can be taken out from both the terms, therefore,

[tex]5x^4 - 80\\\\= 5(x^4-16)[/tex]

Hence, the factorized form of the polynomial is 5x⁴-80 is 5(x⁴-16).

Learn more about Polynomial:

https://brainly.com/question/17822016

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