I wanna know how to solve
the equation ​

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

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Answer:

3.444

Step-by-step explanation:

3.444

Answer:

Well, you would need to divide 44 by the numbers you have so 44/4=11

Answer:

  32

Step-by-step explanation:

  [tex]\log a=7\hspace{15px} \log b=10\hspace{15px} \log c=3\\\\ \log \dfrac{a^8c^2}{b^3}=8\log{a}+2\log{c}-3\log{b}=(8)(7)+(2)(3)-(3)(10)\\\\=56+6-30=\boxed{32}[/tex]

__

The applicable rules of logarithms are ...

  log(ab/c) = log(a) +log(b) -log(c)

  log(a^b) = b·log(a)

Answer:

All equilateral triangles are acute angle triangles.

Answer:

3.21 x 10^8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:i think 6x+3 is 9x and 2x-5 is 3x

Step-by-step explanation:

Step-by-step explanation:

There ya go my laddie. enjoy.

Answer:

1. 8v^4 + 6v^2

2. -7n - 3

3. 2a^3 - 6a

4. -2x^4 + 8x

Step-by-step explanation:

you remove the parentheses, group( or put )the terms together, then combine the like terms, and you'll get your answers.

Answer:

201.06

Step-by-step explanation:

A=πr2

R= 16/2= 4cm

A= 22/7 x 4 x 4

A= 201.06

Answer:

h

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

multiplying the day with 54 gives you its amount earned

Answer: The picture is the answer to your question

Answer:

31 cm

Step-by-step explanation:

A rectangle has 4 sides.

27 cm + 4 cm = 31 cm.

The perimeter is 31 cm.

If you are confused, to find perimeter you add all the sides up. That is why I added 1 + 1 + 1 + 1 / 4.

For inches or a different measure I recommend just converting it. You never mentioned the measure so I decided with cm.

Answer:

35

Step-by-step explanation:

just because i saw a guy who commented on first answer

Answer:

3.4

Step-by-step explanation:

5x=12x-28

28=12x-5x

28=8x

28÷8=3.4

Answer:

n=56 is the correct answer

3×14=42 so,

4×14=56

:)

Answer:

jsjjsjejehehhejejejejejejejejjejrjejrjr

Answer:

h = 15

Step-by-step explanation:

Use Pythagorean Theorem to solve for h.

a² + b² = c²

8² + h² = 17²

64 + h² = 289

h² = 225

h = 15

Answer:

360ft

Step-by-step explanation:

Answer:

Yes, it is

Step-by-step explanation:

It is biased because all of the employees have over a decade of experienc, what about the newly hired ones?

Answer:

1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.

2.) The product of 5 and 1/2  is less than 5, this is because you are multiplying 5 by a number less than one.

Step-by-step explanation:

If multiplied by a number less than one then it will be smaller than original

If multiplied by one will be the same as original

If multiplied by a number greater than one it will be greater than original

Answer:

n = 8.2

Step-by-step explanation:

54 - 13 = 41

5n = 41

41/5 = 8.2

n=8.2

Answer:

Step-by-step explanation:

7) The tangent angles are 90° each.

The angles of a quadrilateral add up to 360°, so ? = 360°-90°-90°-73° = 107°.

8)  Solve this the same way as question 7). ? = 360°-90°-90°-57° = 123°.

Questions 9) and 10) are cut off, so I assume you don't need to know those.

Answer:

(from top)

in the first box, type $9

in the second box, type 4

in the third box, type $45

in the last box, type $112.50

Step-by-step explanation:

divide 22.50 by 2.5 = 9

so in the first box, type 9

36 divided by 9 = 4

5 * 9 = 45

12.5 * 9 = 112.5

Answer:

She makes $9 per hour. 9*2.5=22.50.

4 hours=$36

5hrs=$45

12.5 hours=112.50 dollars

Step-by-step explanation:

The value of expression for x > 5 is,

⇒ x + 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Expression is,

⇒ |x + 3|

if x > 5

Now, For  x > 5;

Expression is,

⇒ x + 3

At x = 5;

⇒ 5 + 3

⇒ 8

Thus, The value of expression for x > 5 is,

⇒ x + 3

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live to be 80 years old and sleep 8 hours a day, How many years have I slept

Solution

A day has 24 hours

24 = 8 + 8 + 8

So you spent 1/3 of your time sleeping.

You can get the same answer if you do 8/24

8/24 = (8 ÷ 8) / ( 24 ÷ 8) = 1/3

All you need to do now is to find 1/3 of 80

1/3 of 80 = 1/3 × 80 = 80/3

80 / 3 = (78 + 2) / 3 = 78 / 3 + 2 / 3 = 26 + 2/3

So that is 26 years + ( 2/3 of a year)

What is 2 / 3 of a year?

Since 2 /3 of a year is a fraction of a year, the answer for 2 / 3 of a year will be in months.

1 year = 12 months.

Just find out what 2/3 of 12 is

2/3 of 12 is 2/3 times 12

2/3 times 12 = (2 times 12) / 3 = 24 / 3 = 8 months

Putting everything together, you slept for 26 years and 8 months during your lifetime.

Hope it helped!

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

2² = 4

3²= 9

4² = 16

5² = 25

6² = 36

7²= 49

8² = 64

9² = 81

10² = 100

So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

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Answer:

7.7 %

Step-by-step explanation:

352-325

=27

27/352 x 100/1

7.670

=7.7%

Answer: 7.7%

Step-by-step explanation:

1. 352 - 325 = 27. This is how many students left.

2. x/100 = 27/352 is the equation.

3. Solve for x: 2700/352 = x = 7.6704

This rounded to the nearest tenth is 7.7%