Mathematics High School

Write the expression as a single logarithm.

log₄ 2x - log₄ 6y

Answers

Answer 1

Answer:

[tex]log_{4}(\frac{2x}{6y})[/tex]

Step-by-step explanation:

According to the Quotient Rule (Logarithmic Property):

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

Therefore, you could combine the logarithmic expressions as:

[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]

Optional:

If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:

[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]

Related Questions

Tres rollos de tela de 30,48 y 72 metros de largo se requieren cortar para hacer pedazos iguales y de mayor longitud¿cual será el largo de cada pedazo?

Answers

Answer:

Desde los 30 metros: 5 piezas de 6 metros

Desde los 48 metros: 8 piezas de 6 metros

Desde los 72 metros: 12 piezas de 6 metros

Step-by-step explanation:

Cada rollo es divisible por 6



If Susie takes a test with 50
questions and gets of them
5
correct, how many questions did
she miss?

Answers

she would get 45 wrong
50 - 5 = 45
She missed 45, because there was 50 questions and she only got 5 correct 50-5=45

can someone help me i will give brainliest to whom ever right 28=x+13

Answers

the answer is that x equals 15

Answer:

15

Step-by-step explanation:

28= x +13

x= 28-13

15

Therefore, 28= 15 +13

56:59
Angles 1 and 2 form a right angle.

2 lines form a right angle. Another line extends between the 2 lines to form 2 angles. The top angle is labeled 1, and the bottom angle is labeled 2.
Which word describes their measures?

linear
congruent
complementary
supplementary

Answers

They are Complementary angles

y=2x =2 and y2= 4x+4

Answers

Answer:

x=−2

y=−4

y²  =−2

Step-by-step explanation:

Im going to assume youre saying to compare the two

if so, then theyre the same equation/line

2y =4x +4 is the same y = 2x + 2 since 2y = 4x + 4 is just y=2x+2 but everything is multiplied by 2

hope this helps :)

what are four different kinds of graphs and what makes them unique?

Answers

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs

Answer:

A pie chart is to illustrate numerical proportion.

Line graphs are used to track changes over short and long periods of time.

Bar graph is a graph that presents categorical data.

Scatter plots' uses are to observe and show relationships between two numeric variables.

Step-by-step explanation:

:)

which of the following pairs of triangles can be proven by ASA?​

Answers

Answer:

B

Step-by-step explanation:

Find the value of x

solving steps

Answers

Answer:

x = 8

Step-by-step explanation:

Supplementary angles add up to 180 degrees to make a straight line.

The red square in one of them indicates that it is 90 degrees on their side which means that it is 90 degrees on the other where (6x+2) and 40 degrees are.

(6x+2) + 40 = 90

6x + 42 = 90

6x = 48

x = 8

Please help me ASAP!!!!!!!

Answers

Answer:

7/4 and 3/8

Step-by-step explanation:

Find the product -6(-3/2)(10
A) -60
B) -90
C) 60
D) 90

Answers

Answer:

[tex]answer = 90[/tex]

Recall that the perimeter of a rectangle is P=2(W+L), where W is the width and L is the length. The length of a rectangle is 23 feet more than the width. If the perimeter is 70 feet, then what is the length of the rectangle, in feet?

Answers

Answer:

Length = 6 + 23 = 29 feet

Step-by-step explanation:

Width = x

Length = x + 23

2x + 2(x+23) = 70

2x + 2x + 46 = 70

4x = 70-46

x = 24/4

x = 6

a man gets a job with a salary of $30,500 a year. he promised a $2,300 raise each subsequent year.
During his 5-year period his total earnings are $____
​

Answers

$152,500

explaination:
he makes $30,500 per year for five years with a raise of $2,300 every year
30,500 x 5 = $152,500
find the amount of money he gets from his raises
$2,300 x 5 = $6,500
adding the raise money
152,500 + 6,500 = $159,000

What’s the value?? HELPPPP

Answers

Answer:

ok well I think it is 16

Step-by-step explanation:

because the parentheses first 2 x 2 x 2=8

then we have the outside of the parentheses 2, 8x2=16

so I think the answer is 16

Let's see

[tex]\\ \rm\rightarrowtail (2^3)^2[/tex]

(a^m)^n=a^mn

So

[tex]\\ \rm\rightarrowtail 2^{3(2)}[/tex]

[tex]\\ \rm\rightarrowtail 2^6[/tex]

[tex]\\ \rm\rightarrowtail 64[/tex]

what is 1/3x+10=3/4x+5

Answers

Answer:

x=12

Step-by-step explanation:

Just use some algebra to collect the like terms from each side

Answer:

x = 12

Step-by-step explanation:

1/3x+10=3/4x+5

make 1/3 & 3/4 have the same denominator

4/12 & 9/12

4/12x+10=9/12x+5

-4/12x+10=9/12x-5

5 = 5/12x

60 = 5x

12 = x

how many digits do you need to write all of the 2-digit numbers?

Answers

Answer:

I think it's 180 digits

Answer:

2

Step-by-step explanation:

any 2 digits using 0 through 9

You have $190 to buy 8 model trains for
your train collection. Write and solve an
inequality that represents the prices you
can pay per train.

Answers

Answer:

8x; x ≤ $23.75

Step-by-step explanation:

You have to buy 8 trains with 190 dollars. You can't use more money or have more trains.

8x ≤ 190

Divide by 8 on both sides.

x ≤ $23.75 per train

Your welcome!

Kayden Kohl

8th Grade Student

answer plssasssssss guys

Answers

Answer:

1) Divide the numerator by the denominator to get 0.6

2) Divide the numerator by the denominator to get 0.7

3) Divide the numerator by the denominator to get 0.25

4) Place 55 over 100, since this number is in the hundredths place, and then divide it (55 ÷ 100). Your answer is 11/20 .

5) Place 6 over 10, since this number is in the tenths place, and then divide it

(6 ÷ 10 = 3/5). Next multiply the whole number (10) by the denominator (5) and then add the numerator (3) to get 53. You now have 53/5 which is the improper form, or 10 3/5 which is the mixed number form.

6) Place 856 over 1,000 , since this is in the thousandths place, and then divide it

(856 ÷ 1,000). Your answer is 107/125 .

7) 0.05, 0.5, 4/5

8) 1.3, 1 1/2, 1.85

Can't see the rest of the page, sorry. Either way, hope this helped :)

A moving van leaves a house traveling at an average rate of 35 mph. The family leaves the
house three-quarters of an hour later following the same route in the car, traveling at an
average rate of 50 mph. How long will it take the car to catch up with the moving van?

Answers

Answer:

31.5 minutes

Step-by-step explanation:

45x35=1575

1575/50=31.5

Mom is splitting 54 grapes evenly between my friends and me.
If there are 9 of us, how many grapes should we each get?

Answers

Answer:

6

Step-by-step explanation:

54 divided by 9 = 6

all of you would get 6 grapes each.

54 is the total and your splitting the grapes evenly amongst everyone. everyone got 6 grapes

Please help! I neeeeeeeeeeeeddddddddd HELP!

Answers

Answer:

probably 400 its closest to what i got

Step-by-step explanation:

it’s definitely 400!!

Please help !!!!!!!!!!

Answers

Answer:

100, -20 times time -5 makes the negatives turn it positive

Express as a trinomial.
(2x – 4)(x + 8)

Answers

Answer:

[tex](2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32[/tex]

(2x - 4) (x + 8)
2x ( x + 8) -4(x + 8)
2x^2 + 16x - 4x - 32
2x^2 + 12x -32

what is the slope of a line that passes through (-3,-3) (-5-2)

Answers

Answer:

- 1/2

Step-by-step explanation:

Given points:

(-3,-3) and (-5-2)

Use slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)=(-2-(-3))/(-5-(-3))=1/-2=-1/2[/tex]
(-3,-3)(-5,-2)

[tex]\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-2+3}{-5+3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1}{-2}[/tex]

Can someone check my answers and tell me if it’s right or not? Thank you so much :)

Answers

Answer:

yes i think u are correct

Step-by-step explanation:

Answer:

some are correct but some are not.

Step-by-step explanation:

You got to pay attention to all the negatives in the equations. Number 3 is incorrect. The reason is  you started the plot at positive 6 not negative 6

Please answer 25 points!

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

that's just the correct answer, I know.

Name:

Short Answer

19. Use the triangle below.

20

x

31

What is the value of the angle (x)? (Round to the nearest whole number)

X =

Answers

The answer to your problem is X=620

(3a ^2 + 1) - ( 4+2a^2)

Answers

Answer:

a^2 - 3

Step-by-step explanation:

(3a^2 + 1) - (4 + 2a^2)

3a^2 + 1 - 4 - 2a^2

a^2 - 3

Write this ratio as a fraction in the simplest form without any units. 8 yards to 15 feet. full anwser.

Answers

Answer:

8/3

Step-by-step explanation:

15 feet = 3 yards

8 yards to 3 yards

Your welcome!

Kayden Kohl

8th Grade Student

Help with this question please

Answers

Answer:10

Step-by-step explanation:

one number is 15 more than a second number.The sum of the number 115. What are the numbers?

Answers

The first number is 65
The second number is 50

X= first number
Y= second number

X+Y= 115 > or 2y+15= 115 > subtract 15 from both side

2y= 100> divide by 2 on each side> y=50

There you have solved for y, now solve x

X= 50+15 > which is 65

So therefore, the first number is 65 and the second is 50.

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