Pls help

Simplify the logarithmic expression

Pls HelpSimplify The Logarithmic Expression

Answers

Answer 1

9514 1404 393

Answer:

  log₁₂(4)

Step-by-step explanation:

The applicable rule of logarithms (to the same base) is ...

  log(a^b) = b·log(a)

__

Then the expression simplifies as follows:

  [tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]


Related Questions

What is 13 4/5 + 5 1/3

Answers

The answer is 19 2/15

Step-by-step explanation:

Add the whole numbers

13 +5 = 18

Add the fractions

4/5 +1/3

The LCD is 15

12/15 + 5/15

17/15

Simplify

17/15 = 1 2/15

1 is a while number so, add it to the other whole number

18 +1 = 19

Your final answer will be 19 2/15

Please gimme brainliest

if there are 5 people per 10000 buses how many will there be

Answers

Answer:

45 x 5 = 225 so 225 students altogether on 5 buses

Step-by-step explanation:

have a good day

Answer:

50,000 people.

Step-by-step explanation:

5 people on each bus.

10,000 buses total.

5 x 10,000 = 50,000

Which statement correctly compares 1/3 and 3/8????

Answers

well, 3/8 < 1/4 because divided by 8 would be smaller and 1/4 is bigger so yeah the last one

Complete the similarity statement for the two quadrilaterals given.



Enter your answer in the box.

quadrilateral RBWZ∼quadrilateral

Answers

Answer: hi! the answer is in the picture below but in case you can’t see the answer is JPFS

have a wonderful day and stay safe!!!

Step-by-step explanation: (see picture :))

Answer:

JPFS

Step-by-step explanation:

Verified correct with test results.

Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?

Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder

Answers

Answer:

30 ounces of butter

25 ounces of sugar

35 ounces of flour

15 eggs

10 tbps of baking powder

Step-by-step explanation:

All you do is multiple each quantity by 5 I think

we are learning about this in school but check the web to see if it is correct

please help me please will give brainliest to ​

Answers

Answer:

D) (1, -1)

Step-by-step explanation:

point G corresponds with point L

the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)

6 quarts =
gallons


Please i meed help answer fast

Answers

Answer:

1 2/4 or 1.5

Explanation:

There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D

Hope this helped!

I CANNOT DO THIS, PLEASE HELP! :D

Answers

Answer:

F = [tex]\frac{k}{d^2}[/tex]

Step-by-step explanation:

The equation of proportionality is

F = k × [tex]\frac{1}{d^2}[/tex] = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion

PLEASE ANSWER

What is a ratio?

Answers

A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The quantitative and relatable relation between two amounts of goods or numbers shows the number of times one value contains or is contained within the other or one number/value with respect to the other number/value.

It is basically the relationship between two similar magnitudes with respect to the number of times the first contains the second.

Lets us understand this with the help of an example that the ratio of x to y can be written as

x: y x / y

Example: the ratio of 1 to 2, written 1:2 or 1/2.

Know more about Ratio: https://brainly.com/question/12024093

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).


A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?

Answers

Answer:

They will Markup the price by $19.76.

Step-by-step explanation:

Markup percent = 38%

Wholesale Price = $52

Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.

so

Markup price = 38% of 52

                      = 38/100 × 52

                       = 0.38 × 52

                       = $19.76

Therefore, they will Markup the price by $19.76.

Plz help me i need it BRAINLIEST AND GOOD RATING IMMEDIATLY


Marcus and Lily are running at the school track. The graphs below represent the distance in miles each person has run as function of time in minutes. Select all the statements that are true based on the graphs shown.

Answers

where’s the graphssss???

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

Find the measure of the missing angle.

Answers

Answer:

Hi

U should do like this

90-51=39...

Answer: 39 degrees

Step-by-step explanation:

Right angle is 90 degrees so 51 plus a will equal 90

A is 39 degrees

What mistake did Francisca make?
1 point
Francisca is asked to solve the
following equation, Francisca's
work is shown below.
3.5 = ** - 1.5
3.5 = {* - 1,5
+1.5 + 1.5
5 = ***
---
It 풍
Francisca was supposed to add the 1/3, instead of subtracting by 1/3
Francisca was supposed to multiply by 3/1, instead of subtracting by 1/3
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3

Answers

Answer:

Francisca was supposed to divide by 1/3, instead of subtracting by 1/3.

Step-by-step explanation:

She was completing the equation correctly until she subtracted 1/3 instead of dividing both sides. It should have been 5 divided by 1/3 or 15/3 divided by 1/3.

I hope this helps!

Samir spent $150 at Costco. He had a coupon that took 5% off the total bill, b. What was the bill before the discount?

Answers

Answer:

157.89 is the answer

A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.

A. (1.5, 2)

B. (-1.5, 2)

C. (0, 1.3)

D. (0, 0)

Answers

Given:

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

To find:

The intersection point of all the medians of the triangle ABC.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]

Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).

[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]

[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]

[tex]Centroid=\left(0,1.333...\right)[/tex]

Round each coordinate to the nearest tenth.

[tex]Centroid=\left(0,1.3\right)[/tex]

The coordinates of required point are (0,1.3). Therefore, the correct option is C.

The top and bottom margins of a poster are each 6.5 cm and the side margins are each 4.5 cm. The area of printed material on the poster is fixed at 384 cm^2.

Answers

Answer:

384cm^2,

Step-by-step explanation:

The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,

5.
In the given right triangle, find the missing length to the nearest tenth.

A. 25 ft
B. 24.1 ft
C. 8.5 ft
D. 7.9 ft

Answers

Answer:

The answer is A. 25 ft

Step-by-step explanation:

Given a=24 and b=7,

c = 25

∠α = 73.74° = 73°44'23" = 1.287 rad

∠β = 16.26° = 16°15'37" = 0.28379 rad

h = 6.72

area = 84

perimeter = 56

inradius = 3

circumradius = 12.5

Chad has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 4 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick and represent as a percent to the nearest tenth if necessary?

Answers

Answer:

first you add all the candies together to get 20 in the bag

2+11+7=20

jelly treat:

now we divide 11 by 20 to get a decimal

11/20= .55

multiply .55 by 100 to change it to a percentage

.55*100=55

first part of answer: He has a 55% chance of getting a jelly treat

mint stick:

divide 2 by 20 to get a decimal

2/20=.1

change .1 to a percent by multiplying by 100

.1*100=10

second part of answer: he has a 10% chance of getting a mint stick

Step-by-step explanation:

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\( 'ㅅ' ) WE ALL NEED CORONA
> ⌒ヽ
/ へ \
/ / \\ or CORONA WILL NEVER Live
レ ノ ヽつ
/ /
/ /|
( (ヽ
| |、\
| 丿 \ ⌒)
| | ) /
⊂ヽ

Answers

Answer:

Wow u good and thanks for the points and I love your profile picture

Step-by-step explanation:

Answer:

wE nEeD cRoNa tO DiE

Step-by-step explanation:

The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find the original number.

Answers

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

what is the power to 2​

Answers

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

360

Step-by-step explanation:

hope this helps.

Can someone help me with question 12A please? Thank you!

Answers

Answer:

Step-by-step explanation:

SOORY


[tex] - 10 = 2x + 6[/tex]
how do I do this​

Answers

X=-8 2x=-16 divide both sides by 2 and it will equal -8 remember negative times positive is a negative

2/3 + (-1/3) = ?????

Answers

Answer: (+) 1/3

Step-by-step explanation: 2/3 + -1/3 is basically subtracting 1/3 from 2/3 so, 2/3 - 1/3 = 1/3.

Answer:

The answer is 1/3.

Step-by-step explanation

If you have a calculator then you can put it in your calculator and it will give you the answer.

If you don't have one then here is how you do it.

Its simple really, all your doing is just subtracting 1/3 from 2/3 and you will get 1/3 which is the answer.

I hope this helps you.

What is the slope of the line that passes through the points (-9,8) and
(-21, 10)? Write your answer in simplest form.

Answers

Answer:

The slope is -1/6

Step-by-step explanation:

We simply use the slope formula here

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

thus;

m = (10-8)/(-21 + 9) = 2/-12 = -1/6

find the additive inverse of-9x+3​

Answers

Answer:

9x − 3

Step-by-step explanation:

−9x + 3 = −1(−9x + 3) Multiply the expression by −1.

−1(−9x) + −1(3) Distributive Property

9x − 3 Simplify.

The additive inverse of the given expression is 9x-3​.

The given expression is -9x+3.

What is additive inverse?

The additive inverse of a number is its opposite number. If a number is added to its additive inverse, the sum of both the numbers becomes zero. The simple rule is to change the positive number to a negative number and vice versa.

The additive inverse of the expression is -(expression).

Now, -(-9x+3)

= 9x-3

Therefore, the additive inverse of the given expression is 9x-3​.

Learn more about the additive inverse here:

brainly.com/question/24149673.

#SPJ2

Tables
Х
у
6
4
8
12
12
24
16
30
Proportional
Not Proportional

Answers

the answer isNot proportional

Answer:

it's not proportional ...

please thnx my answer..

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