Mathematics High School


What is the solution to this equation?

What Is The Solution To This Equation?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

log [tex]x^{n}[/tex] = nlog x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{3}[/tex] (4x) - 2[tex]log_{3}[/tex] x = 2

[tex]log_{3}[/tex] (4x) - [tex]log_{3}[/tex] x² = 2

[tex]log_{3}[/tex] ([tex]\frac{4x}{x^2}[/tex] ) = 2

[tex]log_{3}[/tex] ([tex]\frac{4}{x}[/tex] ) = 2

[tex]\frac{4}{x}[/tex] = 3² = 9 ( multiply both sides by x )

4 = 9x ( divide both sides by 9 )

[tex]\frac{4}{9}[/tex] = x → D

Related Questions

What is the slope of the line?
7
1
T
1
2
4
-le 0 1 0
-

Answers

Answer:

please add me on sñap

Step-by-step explanation:

arshad2623f

Answer:

1/2

Step-by-step explanation:

(-2,-1)(2,1)

m = 1-(-1) / 2-(-2)

m = 2/4 or 1/2

Solve for X. No decimals
Help please

Answers

Answer:

x =√25-16

x =√9

x =3

Step-by-step explanation:

I've used the Pythagoras theorem

Answer:

The answer is three

Step-by-step explanation:

The equation would be 4(4)+x(x)=5(5).

I used the pythagorean theorm to get this equation.

what is the value sin 35 = 20/x

Answers

Answer:

I got x=4/7

Step-by-step explanation:

hoped I helped:) please correct me if in wrong:)

Solve for X and round to the nearest tenth

Answers

Answer:

4.2

Step-by-step explanation:

cos65°= adj/hyp

cos65°= x/10

x= cos65° * 10

*make sure your calculator is in degree mode

4.226

cos = adjacent / hypotenuse

cos 65 = x/10

10 cos 65 = x

x = 4.22618....

x = 4.2 (nearest tenth)

Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.

Answers

Absolute Value Is ALWAYS Positive. Therefore, the answer should be none.
None

Cause the absolute value doesn’t equal to negative number

Find the radius x of OC.
a) 4
b) 6
c) 12
d) 12.8

Answers

Answer:

the correct answer is 6..... option b

If 18: x = x: 8, find x.

Answers

Answer:

x=12

Step-by-step explanation:

first we simp. 18:x=x:8 to x^2=18*8. In which case it is x^2=144 x=12

Carmen needed 23 of a yard of fabric to make a shirt and a 12 yard of fabric to make a matching skirt. How much total fabric did Carmen need to buy? 1 yard of fabric 1 yard of fabric 34 yard of fabric , 3 fourths, yard of fabric 116 yards of fabric , 1 and 1 sixth, yards of fabric 56 yard of fabric

Answers

Answer:

38/3 yards

Step-by-step explanation:

Given that,

Fabric required to make a shirt = 2/3 of a yard

Fabric required to make a skirt = 12 yards

Total fabric needed,

[tex]x=\dfrac{2}{3}+12\\\\=\dfrac{38}{3}\ yards[/tex]

Hence, 38/3 yards of fabric is needed.

Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip

Answers

Answer:

what is your question

Step-by-step explanation:

Help worth 50 points

Answers

Answer:

after half the circumference of her arms point A will be first in the performer's arm again

so she had revolve half.

2πr1/2πr2

r1/r2

2.25/18

Answer:

After half, the circumference of her arms point A will be first in the performer's arm again  so she had revolve half.

2πr1/2πr2

r1/r2

     2.25/18

What is the LCM of 2, 4, and 5?

Answers

Answer:

20

Step-by-step explanation:

the LCM of 2, 4, and 5?

2

[tex] {2}^{2} \times 5[/tex]

Given the definitions of f(x) and g(x) below, find the value of g(f(6)).
f(x) = -33 + 10
g(x) = x2 + 3x – 12

Answers

3 because it is a better Dona a toon

A plane takes off at 54 degrees latitude. It flies directly south and lands at -12 degrees latitude. Which expression represents the difference in latitude?

❘-12 - 54❘
-❘54❘ + ❘-12❘
❘54 - 12❘
-❘54❘ - ❘12❘

Answers

Answer:

❘-12 - 54❘  

I hope my answer is correct and helpful.

Jordyn wants to gain less than 5 pounds over the Christmas break

Answers

If your talking about gaining 5 pounds of muscle over Christmas break no that won’t happen but if you eat yea probably

Find the amount and compound interest on 5000 at 6% per annum for 3 years annual

Answers

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

There are 828 calories in nine ounces of a certain ice cream. How many calories are there in one pound? before you solve the first question answer this one first.
How many ounces will you need to find the number of calories for?

Answers

mAnswer:

5

Step-by-step explanation:

yg b hmbbv

Complete the table for the given rule.
Rule: y= 1/3x

Answers

Answer:

Rule: Y = 1/3x

Slope: 1/3

Y- intercept: (0,0)

X- Intercept: (3,1)

I have answered have a good day.

This question is pretty simple and easy so please answer it.

Determine if the table represents a linear function, exponential function or quadratic function.






The pattern value that identifies part of the equation is_______

Answers

Answer:

Quadratic

Step-by-step explanation:

A student is constructing a triangle with the following dimensions:

side length of 10 inches

side length of 30 inches

Which measurements could be the length of the third side? Select all that apply.
19 inches
21 inches
35 inches
45 inches
50 inches

Answers

Answer:

21 and 35 give Brainliest

please

Step-by-step explanation:

Answer:

B 21

C 35

Step-by-step explanation:

Its right on edege

what is uv + v u = –1 and v = –1.

Answers

answer = 0
-1(-1)=1
1 + -1 = 0

Answer:

u=1/2

Step-by-step explanation:

if v=-1 then v is multiplying u, -u+ -u which gives -2u. to find u, divide both sides by -2 .-1/-2 the negative cancels the negative giving you positive number, which is 1/2

how many groups of 1/8 are in 11/12​

Answers

Answer:

2

Step-by-step explanation:

I need to make it 20 character long.

A factory made 69 packs of mint-flavored gum and 31 packs of fruit-flavored gum. What percentage of the packs contained mint gum?

Answers

Answer:

69%

Step-by-step explanation:

if there are 69 packs of mint gum and 31 packs of friut gum 69+31=100

so 69 out of 100 (packs of mint gum) would be 69% of 100

14. Write the ratio 15:5 with second term 1.
a. 10:1
b. 3:1
C.
11:1
d. 5:1

Answers

Answer:

your answer would be b

Step-by-step explanation:

if you divide each side by 5 you get

15/5:5/5

3:1

hope this helps! have a nice day!

B

5/1 = 1
15/5= 3

So 3:1

If in a stick of chalk, 3 gram is carbon, what is the weight of the chalk piece?

Answers

Answer: . Hence the weight of chalk stick is 25 g

Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g

Which graph represents the solution set of the inequality -14.5

Answers

Answer:

c

Step-by-step explanation:

edge 2020-2021 <3

( ilysm and im so proud of everything you've done have an amazing day )

Find the measure of CB.

Answers

Answer:

I'm Pretty Sure Its 40.

Step-by-step explanation:

Answer:

CB = 20.

Step-by-step explanation:

If the triangle is Isosceles, assuming that <D = <B according to the markings, CB must be 20 since 32 is the greatest side and therefore the hypotenuse, 20 is the smaller side and therefore either opposite or adjacent. Given that two sides must be the same, since CB is opposite of angle D which is congruent to angle B, CB = side opposite of angle B = 20.

Is n=10 a solution to this equation? n/2 + n = 10

Answers

Answer:

No, it is not a solution.

Step-by-step explanation:

Substitute 'n' for 10.

[tex]\frac{10}{2} +10=10\\\\5+10=10\\\\\boxed{15\neq 10}[/tex]

10 is not the solution to the equation.

Hope this helps.

The slope of the line that passes through the points (2,4) and (3,8) is ...

Answers

slope = y2 - y1 / x2 - x1
= 8-4 / 3-2
= 4 / 1
= 4

What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

68

Step-by-step explanation:

360÷4=90

90-22

68

hope this helps

Answer:

68

Step-by-step explanation:

right angle is 90 take away 22 is 68

The perimeter of a rectangle whose length is twice as much as its width, is 30 in. Find its length and width.

Answers

Answer:

Width = 5

Length = 10

Step-by-step explanation:

Let x be the width of the rectangle

2x + 2(2x) = 30

x = 5

Width = 5

Length = 10

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