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

What is m∠JNM? Line J L and line M K slightly inclined with horizontal intersects at N. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle J N M is labeled as left parenthesis 4 x plus 6 right parenthesis degrees. The measure of angle L N K is labeled as left parenthesis 7 x minus 21 right parenthesis degrees.

Answers

Answer:

JNM=42

Step-by-step explanation:

JNM is equal to LNK so you can set the equations equal to each other.

7x-21=4x+6, subtract 4x from both sides

3x-21=6, add 21 to both sides

3x=27, divide by 3

x=9, then you plug it into an equation

4 times 9 + 6

36+6

42

<JNM = [tex]42[/tex] degrees.

What is horizontal angle?

The angle made by two ground lines is measured horizontally , and is called a horizontal angle.

According to the question

Line J L and line M K slightly inclined with horizontal intersects at N.

<JNM = <LNK

[tex]4x + 6 = 7x - 21[/tex]

Subtract 4x from both sides

[tex]6 = 3x -21[/tex]

[tex]3x=27[/tex]

Divide by 3

[tex]x=\frac{27}{3}[/tex]

[tex]x =9[/tex]

<JNM = [tex]4x+6[/tex]

<JNM = [tex]4(9)+6[/tex]

<JNM = [tex]42[/tex] degrees

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if i read 50 pages in 40 minutes how many pages do i read a minute

Answers

Answer:

You are reading 1 1/4 page/minute.

Step-by-step explanation:

Answer: 50/40= 1.25 pages

Helpppppp me brainlest math

Answers

Answer:

what do you need help with?

Step-by-step explanation:

23 What is the solution to this equation?
2x + 3 = x - 4

Answers

Answer:

x = -7

Step-by-step explanation:

2x + 3 = x - 4

~Subtract 3 to both sides

2x = x - 7

~Subtract x to both sides

x = -7

Best of Luck!

Answer:

Hello!!

Solving for the equation [tex]2x+3=x-4[/tex] ... the correct answer would be

[tex]x=-7[/tex]

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolate the variable

Hope this helps!!

11 3 ​ ×3 4 1 ​ =
Help please

Answers

Answer:

Exact Form:

77/ 3

Decimal Form:

25.6

Mixed Number Form:

25  2/3

Step-by-step explanation:

the thing is 11/3 times 3 4/1

The value of the digit in the thousands place is_______ times as much as the digit in the hundredths place

Answers

The thousands place is 10 times the value of the hundreds place

Rosa says she can break this array into 3 different sets of two smaller arrays . Is Rosa correct ? Explain . The array is a 6 by 8.

Answers

Answer:

yes

Step-by-step explanation:

because 6X8=48 and 48 dived by 3 equals 16

Arrays are dataset that are represented in rows and columns. Rosa's claim is correct.

What is an array?

An array is a linear data structure that collects elements of the same data type and stores them in contiguous and adjacent memory locations.

From the question, we have:

6 rows and 8 columns

The number (n) of elements in the array is: n = Rows × Columns.

So, we have: n = 6 × 8 =48

Express as sum of three numbers, that is n=12+16+20

Express each term as a product, that is n=2 × 6 + 4 × 4 + 4 × 5

The above expression means that, the array can be split to:

An array of 2 by 6

An array of 4 by 4

An array of 5 by 4

Hence, Rosa is correct.

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Which of the following functions best describes this graph?
10

Answers

Answer:

A

Step-by-step explanation:

vertex = (-4, -4)

vertex form:

y = a(x-h)^2 + k

__________

y = (x- (-4))^2 + (-4)

y = (x+4)^2 -4

y = (x+4)(x+4) - 4

y = x^2 + 8x + 16 - 4

y = x^2 + 8x  + 12

answer: A

The owner of a food truck determines a location for the operation. The owner maps out two office buildings on a coordinate plane. Office Building
1 is located at (−4,10), and Office Building 2 is located at (2,6). If the food truck is located halfway between Office Building 1 and Office Building 2, what is the y-coordinate of the food truck’s location?

somebody please explain and answer this!!

Answers

Answer:

y coordinate: 8

Step-by-step explanation:

middle of the two areas have the y as 8

The equation of line j is y =-5/8x+4/9. Line k is parallel to line j. What is the slope of line k?

Answers

Answer:

using the formula

y= mx+ c

comparing these;

m= -5/8

when two lines are parallel they are always equal

so the slope of line k= -5/8

Step-by-step explanation:

PLS MARK BRAINLIEST

A baker needs 2 pounds of flour to make 76 cookies.
How many pounds of flour would the baker need to
make 190 cookies?

Answers

Answer:

5 pounds

Step-by-step explanation:

2=76

76/2=38

38x5=190

5 pounds because it takes one pound to make 38 cookies

Very urgent!!!!!
The first term of an AP is 6 and the 5th term is 18.find the number of terms in the series having a sum of 162....
With workings
And explanation
Thanks ​

Answers

Answer:

number of terms=9

Step-by-step explanation:

[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]

as number of terms can't be negative.

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

Sn = n/2(2a+(n-1)d)

a=6

a+ 4d= 18

6 +4d= 18

4d = 12

d = 3

162= n/2(12+(n -1)3)

324=n(12 + 3n-3)

324=12n + 3n^2 - 3n

3n^2 + 9n-324=0

3n^2+ 36n-27n -324 =0

3n(n+12) -27(n+12)= 0

3n-27 =0; n+ 12=0

n=9 ; n= -12

since n can't be negative n=9

The number of terms is 9

Express this ratio in simplest form. 600cents : $10.50

Answers

$10.50 is equal to 1050 cents. the i simplified ratio would be 600:1050 and the simplified would be 4:7

b)Using the formula from part a, calculate the retail price for each quantity range.


( Hope this helps guys )


ANSWER:

$45.00

$41.40

$37.80

$34.20

$30.60


EXPLANATION:


Ok so the first box is 25.00 your going to multiply .80 whatever your awnser is for that which is 20 then you take that and add the 25 from the box and get 45 and that’s your awnser and just repeat the process for the other boxes .

Answers

Answer:

man, thanks alot really helped me I was struggling with this one. Couldnt find any answers

Step-by-step explanation:

To make papier-mâché, Emma uses 3/4 cup of white school glue for each batch. For a big project, she will make 11 batches of papier-mâché. Emma has half of 1-gallon bottle of white school glue. Does Emma have enough glue?

Answers

Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

Note that 1 gallon = 16 cups

Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups

Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:

= 8 ÷ 3/4

= 8 × 4/3

= 10 2/3

Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

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Ethan, Caleb, and Jayden went to a bakery to buy desserts. Ethan bought 2 cupcakes, 2
brownies and a pie for $20. Caleb bought 4 cupcakes, 4 brownies and a pie for $44, Jayden
bought 5 cupcakes and 6 brownies for $40. Write a system of equations to represent is
situation. Convert the system to a matrix and find the cost of 1 cupcake, 1 brownie, and 1
pie to the nearest cent.

Answers

Answer:

x = 32

y = -20 and

z = -4

Step-by-step explanation:

Cupcakes = X

Brownies = Y

Pies = Z

Ethan = 2x+2y+z = 20

Caleb = 4x+4y+z = 44

Jayden = 5x+6y = 40

-1(2x+2y+z=20) =

(-2x - 2y - z = -40) + (4x+4y+z=44)

= 5x + 6y = 40

-3(2x+2y=24 =

(-6 - 6y = -72) + (5x + 6y = 40)

= - x = - 32

= x = 32

5 (32) + 6y = 40

= 160 + 6y = 40

6y = 40 - 160

y = 120/6

y = - 20

2(32) + 2(-20) + z = 20

64 - 40 + z = 20

z = 20 - 24

z = -4

helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee​

Answers

C c then a then b then d then a

100 POINTS & BRAINLIEST!!

Answers

Answer:

b

Step-by-step explanation:

Total hours for biweek or 2 weeks

2(20)40hours

Hourly pay=$18.25

Total home pay

18.25(40)$730

Atleast $255 per week you can easily acquire 1000 also by toil

I’m confused I’ll give brainlist it’s either a b c or d

Answers

Answer:

C.

Step-by-step explanation:

She needs 160 for a free ticket and get 85 for signing up.

Every time she goes, she get 12.5 points

160=85+12.5v

The answer would be C

Reason:

We eliminate B and D as they do not have a total of 160 points.

We are now left with A and C

A shows that she would need to earn 85 points three times which is incorrect as she receives 85 points 1 time after signing up. Therefore we eliminate A.

We are now left with C

C shows that the total amount of points she would need to earn a free ticket are 160 points.

It also shows that she would receive 85 points 1 time after signing up.

It also shows that the remaining points she would get are from strictly visiting the movie theater.

C is your answer

What is the slope of the line that passes through the given points?

(-1, -5) and (-12, -5)


Watch out for those negative signs!

Select one:

a.
0

b.
undefined (this means you get an answer like 5/0, you CANNOT divide a number by 0!)

c.
10/13 fraction

d.
13/10 fraction

Answers

Answer:

The answer is A. 0

Step-by-step explanation:

If you graph the equation it shows a straight horizontal line and that makes it zero

Answer:

A) 0

or m = 0

Step-by-step explanation:

Slope is zero, because it's just a straight horizontal line.

You can tell when you graph it or by the fact that they both have the same y-value, in this case -5.

I hope this helps :)

REALIZAR CADA ELERCICIO POR LOS TRES METIDOS EXPLICADOS EN CLASE

1.EJERCICIO 1 .
2X-Y-4Z=12

3X-4Y+2Z=-11

-5X+2Y-Z=2

EJERCICIO 2.
X+2Y+Z=1

7X+3Y-Z=-2

X+5Y+3Z=2

Answers

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / (1 ; 2 ; -3)

2. x= 3 / y= -5 / z= 8 / (3 ; -5 ; 8)

Step-by-step explanation:

                           

Can someone help me with this??

Answers

Answer:

son: 12 daniel: 32

Step-by-step explanation:

daniel is 26 in 6 years he would be 32

son is 3x younger in 6 years so 32 divided by 3 would be 10.6 (11 if estimated)

The formula for the volume, V, of a sphere with radius r is V=(43)πr3. If the radius of a baseball is 113 inches, what is the volume to the nearest cubic inch?
A. 6
B. 8
C. 10
D. 14

15

Answers

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

In conclusion, the volume of the baseball is 6 inches.

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I need help with this question

Answers

Which one is your question???

5x+3x-6=6x+12 what is the answer

Answers

Answer:

x=9

Step-by-step explanation:

1. Combine like terms

2. Add 6 to both sides

3. Simplify

what is 1760 rounded to the nearest hundred

Answers

Answer:

1800

Step-by-step explanation:

3. In a figure a small square is cutting out from the largesquare. The area of the remaining part is 91 cm². The sum of Sides equal to 52cm.
(a). If the side of large square is x and the side of smallest square is y then find the area of the remaining part?
(b). Find the sides of the smallest square?
(c). Find the areas of the two squares?​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

ABCD is a square of side x cm

EFGH is a square of side y cm

Further given that,

Sum of all sides = 52 cm

It means

Perimeter of square ABCD + Perimeter of square EFGH is 52 cm

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]

So, using this, we have

[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]

[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]

[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]

Now, Further given that,

If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.

It means

[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]

can be further rewritten as using algebraic Identity,

[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]

[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]

[tex]\red{ \bigg\{  \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]

[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]

On adding equation (1) and (2), we get

[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]

[tex]\rm :\longmapsto\:2x = 20[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]

On substituting the value of x in equation (1), we have

[tex]\rm :\longmapsto\:10 + y = 13[/tex]

[tex]\rm :\longmapsto\:y = 13 - 10[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]

So,

[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]

and

[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]

Also,

[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]

[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]

In the xy-plane, the midpoint M of segment AB has coordinates (-1,3), and point A has coordinates

(-3,0). What is the x-coordinate of point B?

-1

1

2

3

Answers

I think it’s 3 because if u do a -3 and a positive 0 the answer would be 3

Madison needs to buy a new laptop for her music production. She borrows $2,100 and must pay the money back in equal amounts for 7 months. She must also pay $4 interest each month. What is her monthly payment, including interest?

Answers

Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

Answer:
$304
Explanation:
$2100 divided by 7 months is $300 plus $4 interest it’s $304

x + 3 + -3 = -6 please help me on this

Answers

Answer:-6

Step-by-step explanation:

X=-6

3 and -3 cancel out.

Answer:

-6

Step-by-step explanation:

The positives and negatives added cancel eachother out.

-6+3=-3

-3+-3=-6

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