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

HELPPP!!!!!!!!!!!!!!!! PLEASE! :D

Answers

Answer:

The solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

Step-by-step explanation:

Given the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

solving the expression

[tex]4x-1\:\le \:5x\:\le \:3\left(x+2\right)[/tex]

[tex]\mathrm{If}\:a\le \:u\le \:b\:\mathrm{then}\:a\le \:u\quad \mathrm{and}\quad \:u\le \:b[/tex]

[tex]4x-1\le \:5x\quad \mathrm{and}\quad \:5x\le \:3\left(x+2\right)[/tex]

solving

[tex]4x-1\le \:5x[/tex]

Add 1 to both sides

[tex]4x-1+1\le \:5x+1[/tex]

Simplify

[tex]4x\le \:5x+1[/tex]

Subtract 5x from both sides

[tex]4x-5x\le \:5x+1-5x[/tex]

simplify

[tex]-x\le \:1[/tex]

Multiply both sides by -1 (reverse inequality)

[tex]\left(-x\right)\left(-1\right)\ge \:1\cdot \left(-1\right)[/tex]

Simplify

[tex]x\ge \:-1[/tex]

Similarly solving

[tex]5x\le \:3\left(x+2\right)[/tex]

Subtract 3x from both sides

[tex]5x-3x\le \:3x+6-3x[/tex]

Simplify

[tex]2x\le \:6[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}\le \frac{6}{2}[/tex]

Simplify

[tex]x\le \:3[/tex]

So combine the interval

[tex]x\ge \:-1\quad \mathrm{and}\quad \:x\le \:3[/tex]

Merge overlapping intervals

[tex]-1\le \:x\le \:3[/tex]

Therefore, the solution to the inequality is:

[tex]-1\le \:x\le \:3[/tex]

The line graph of the solution is also attached.

WORTH 25 POINTS!!!!! Three times as many adults as students attended a game. The total attendance was 480. If 3x + x = 480 models this situation,
which two statements are true?
A)
3x = number of students
B)
x = number of adults
480 - X= number of adults
D)
360 adults attended.
E)
200 children attended.

Answers

Answer:

B x= number of adults 480-x = number of adults

PLEASE HELP
Brandon enters bike races. He bikes 7 1/2 miles every 1/2 hour. complete the table to find out how far Brandon bikes for each time interval

Answers

Distance || times (h)
7 1/2 || 1/2
15 || 1
22 1/2 || 1 1/2
30 || 2
37 1/2 || 2 1/2


Answer:

12. Since there is no table given I will assume that what you want me to do is to show that Unit rate of Brandon’s biking. SO here are the data that we need: => 8 and ½ miles = 8.5 miles => ½ hour = .5 hours or 30 minutes Now, let’s solve for the unit rate => SO in every 30 minutes he bikes around 8.5 miles => Since 1 hour is equals to 30 minutes, simply multiply 8.5 by 2 => 8.5 * 2 = 17miles => 17 miles / hour

Step-by-step explanation:

divide 612 by 12  

>O<

please help solve....

Answers

the answer is 26 ;) have a great night

2.) The highest spot in Town X is 4 1/3 times taller than the highest spot in
Town Y. If the tallest spot in Town Y is 72 meters high, how high is the
tallest spot in Town X?

Answers

Answer:

312 meters

Step-by-step explanation:

X = [tex]\frac{13}{3}[/tex] · [tex]\frac{72}{1}[/tex]

X = 13 · 24

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+193x+128

Answers

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation

Chang made 6 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces was $42.60. If the beads cost a total of $22.20, how much did each pendant cost?​

Answers

Answer:

One pendant costed $3.40

Step-by-step explanation:

Can someone help me with this please

Answers

Answer:

1) C=80°

2) A=C= 54°

Step-by-step explanation:

1) 180-60-40=80

2)180-72=108

108/2=54

Hope this helps! :)

Answer:

1. 80º

2. Both are 54º

Step-by-step explanation:

1. If you add 60º + 40º in problem 1, you get 100º. We need to get it to equal 180º, so this means the missing angle would be 80º

2. Just like in the first one, we need this to equal 180º. So, let's go backwards.

180 - 72 = 108

Now, since the remaining angles are equal, let's divide 108º by 2

108 / 2 = 54º

Hope this helps :)

An architectural drawing of a building shows the elevation of the basement floor to be –10 feet. The elevation of the roof is 40 feet. How far is it from the basement to the roof?

Answers

50 feet

It is 10 feet from -10ft to 0ft, plus 40ft to the roof.

A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

The equation in slope-intercept form is y = 6x + 5

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

Let us solve the question

∵ A line has a slope of 6

∵ m is the slope of the line

m = 6

∵ The line has a y-intercept of 5

∵ b is the y-intercept

b = 5

→ Substitute the values of m and b in the slope-intercept form

∵ y = m x + b

∴ y = 6x + 5

The equation in slope-intercept form is y = 6x + 5

Convert 3 quarts to pints.​

Answers

It should be 6 pints

Answer: 6 pints

Step-by-step explanation:

Multiply the quarts by 2

SOMEONE DO NUMBER 13 AND 14 FOR ME ASAP!! GIVING BRAINLIEST!!!!

Answers

Answer:   13 An improper fraction is always 1 or greater than. A mixed number is a combination of a whole number and a proper fraction. In a proper fraction, the numerator is always less than the denominator.  

14 they are not equivalent.

Step-by-step explanation:

There is a rope running from the
top of a flagpole to a hook in the
ground. The flagpole is 6 meters
high, and the hook is 8 meters
from its base. How long is the
rope?

Answers

Answer:

10 meters

Step-by-step explanation:

Use the Pythagorean Theorem for this one:

[tex]a^{2} + b^{2} = c^{2}[/tex]

If a = 6, b = 8, then:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]6^{2} + 8^{2} = c^{2}[/tex]

[tex]\sqrt{6^{2} + 8^{2}} = c[/tex]

[tex]\sqrt{36 + 64} = c[/tex]

[tex]\sqrt{100} = c[/tex]

[tex]10 = c[/tex]

[tex]c = 10[/tex]

According to the Pythagorean theorem, if the flagpole is 6 meters high and the hook is 8 meters from its base, the rope is 10 meters long.

Hope this helps!

HELP I NEED HELP ASAP ILL GIVE U BRAINILEST!

Answers

(a).

36 players = 100%

? = 10%

(36×10) / 100%

= 3.6 gloves for left hand players.

Explanation :- Object needs to be in full form whereas 3.6 would be written as only 3 gloves in full.

Ans: Yes. Total gloves were enough.

(b).

36player gloves = 100%

7 lefties = ?

=700/36 = 19.4%

=19.4444444 as recurring would be,

19 % (nearest to whole percent) DONE ✅.

Need answer simplify -2/5+4/3=

Answers

Answer:

The answer should be 14/15.

Step-by-step explanation:

The answer is 14/15 because -2/5 and 4/3 with a common denominator turns into -6/15 and 20/15.

Then you add both of them together.

-6/15 + 20/15 = 14/15

Which expression is equivalent to (-7m* + 15m2 – 12m?) + (3m® – 12m* -zma),
m-6
O 3m*+mo+2m2
O 3m5 - 19m+ +8m3 - 12m2
3m4-ma+2m2
3m4 - 19m2 +8m2 - 12m

Answers

Answer:

[tex]3m^4-m^3+2m^2[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{(-7m^4 + 15m^3-12m^2)+(3m^5-12m^4-7m^3)}{m-6} \\\\Firstly\ simplify\ the\ bracket\ should\ be\ :\\\\=\frac{-7m^4 + 15m^3-12m^2+3m^5-12m^4-7m^3}{m-6}\\\\collect\ like\ terms\ together:\\\\=\frac{3m^5-7m^4-12m^4 + 15m^3-7m^3-12m^2}{m-6}\\\\=\frac{3m^5-19m^4 + 8m^3-12m^2}{m-6}\\\\=\frac{m^2(3m^3-19m^2+8m-12)}{m-6}\\\\=\frac{m^2(m-6)(3m^2-m+2)}{m-6} \\\\=m^2(3m^2-m+2)\\\\=3m^4-m^3+2m^2[/tex]

Answer:

c

Step-by-step explanation:

Help pls ill mark brainliest

Answers

Answer:

angle 7

Step-by-step explanation:

LHI is angle 9, so the one opposite from it is 7

i hope this helped, and if it did, please mark this as brainliest! thanks

is it possible to draw a triangle with numbers 5,6,11

Answers

Answer:

No

Step-by-step explanation:

Let's use the Pythagorean Theorem. For those of you that don't know, it is [tex]a^2 + b^2 = c^2\\[/tex].  

11 is the bigger side in this case, so our formula would go like this: [tex]5^2 + 6^2 = 11^2\\[/tex].

We now calculate to see if this is true.

25 + 36 [tex]\neq[/tex] 121

Therefore, the answer is wrong.

I need the equation that passes through the point

Answers

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!

I WILL GIVE YOU BRAINLY PLSS



There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143


PLSS SHOW YOUR WORK PLS

Answers

Answer:

B. 143

Step-by-step explanation:

Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.

Find the value of x that makes m || n

Answers

Answer:

x = 60

Step-by-step explanation:

if m and n are parallels, that means that x and 2x would be same side interior angles.

same side interior angles add up to 180

x + 2x = 180

3x = 180

x = 180/3

x = 60

Find the product in simplest form.

9/10 times 5/7

A 1 13/50

B 9/14

C 14/17

D 4/7

Answers

The answer is B.9/14

Answer:

B 9/14

Step-by-step explanation:

First, we have to find the product by doing the multiplication.

9/10 x 5/7 = 45/70

We have to find the greatest common factor that both the numerator and the denominator share to divide them by which is 5.

We can simplify 45/70 by dividing both the numerator and the denominator by 5.

This will give us 9/14.

We also know that this fraction cannot be simplified anymore since we took the greatest common factor that both the numerator and the denominator shared.

Therefore the answer is B 9/14

(sorry if this is confusing but I hope it helped anyway)

What is the slope of the line that passes through the points
(

4
,

3
)
(−4,−3) and
(
14
,
0
)
?
(14,0)? Write your answer in simplest form.

Answers

Answer

y= 1/6x -2.3

Step-by-step explanation:

hope this helps :)

The slope of the line passing through (-4, -3) and (14, 0) is 1/6.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line passing through (-4, -3) and (14, 0) is:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{0-(-3)}{14-(-4)} \\\\m=\frac{3}{18} \\\\m=\frac{1}{6}[/tex]

The slope of the line passing through (-4, -3) and (14, 0) is 1/6

Find out more at: https://brainly.com/question/13911928

Write the value of ten nickels as a decimal.
pls thx :)

Answers

Answer:

0.10

Step-by-step explanation:

Answer: (Read tell the end you wont regret it) Hi, I am so very sorry, I do not know this but I need more points so please appropriate this. Once again i'm sorry

Step-by-step explanation:

Answer: 10 nickels + 5 dimes = 1 dollar.

10 cents of a dollar is written $0.10. 1 dollar and 1 cent is written $1.01. 1 dollar and 10 cents is written $1.10.May 6, 2019

Just trying everything I found im sorry :(

PLS HELP!! answer the pic below

Answers

The y intercept is (0,3)

Have a great day!
0,3 I think cause I did it before



Carla believes that the number of hours of video games a student plays is predictive of the student's grade point average. Which value

represents a correlation coefficient that would strongly support Carla's belief?

Answers

Answer:

Negatively Correlated

Step-by-step explanation:

Number of video games played is likely to be negatively correlated to student's grade.

Negative correlation means that the variables deviate in opposite directions, one variable increase (decrease) & other variable decrease (increase).

As more video games played implies lower student grade, less video games played higher student grade. So, the variables are negatively correlated.

Whether the variables are strongly negatively correlated (correlation coefficient > 0.5) or weekly correlated (correlation coefficient < 0.5). It depends on how severely video games affect student's performance.

Brainliest to RIGHT answer

Answers

Answer:

Calculate the slope Take two points So 3x is the slope 0=3(-2)+b b = 6 y=mx+by=3x+6 Give brainlist

HELP ME PLEASE I REALLY NEED IT!!!

Answers

6126!!!! You are welcome :) I just took this test today
6126!!! Because if you do it out that would be the answer

The postal service offers flat-rate shipping for priority mail in special boxes. Today, Duncan shipped 10 small boxes and 9 medium boxes, which cost him $149 to ship. Meanwhile, Hannah shipped 7 small boxes and 1 medium box, and paid $46. How much does it cost to ship these two sizes of box?

Answers

Answer:

298

Step-by-step explanation:

844677$bubjnuncidnxisbixbsixnisnxisbfibeufbrinfuenfudbucnrucbeibfe

Choose 3 numbers to add to give you a total of -16.

Answers

Answer:

-4+-5+-7=-16

Step-by-step explanation:

Other Questions
What is the value of x when 9( x - 9)= -11 The metal wire is stretched so that its cross-section is still circular but its total length is now 10 meters. What is the resistance of the wire after stretching An object decelerates from 25.0 m / s to 5.0 m / s in a time of 4.0 s. It has a mass of 50 kg. What is the resultant force on the object? A bag of nuts weighs 3 ounces and costs 50 cents. What is the unit price? Round to the nearest cent.50 _____ = _____- per ounce Write an equation of the line with a slope of -4 and a y-intercept of 2. why do you think that 97 out of 100 people do not write their goals? Which statement provides the best definition of external conflict?A) A struggle between a person and other people, nature, or societyB) A conflict that a person has within his or her own mindC) A compromise that is the result of an argument between people Which of the following is an example of work: bowling or reading? Intact fossils are usually found in sedimentary rock, not metamorphic rock. Based on the information in the diagram, what is the reason for this phenomenon? The inverse of f (x)=x^2-3 is? Based on this cartoon, what was a goal of the Freedmen's Bureau? can a triangle be made with side lengths of 1, 2, and 4 plsss A 58 kg skier starts at rest from a 24.0 m high hill. They travel to the bottom and then up a second hill to a height of 19.0 m. How much kinetic energy do they have at the top of the second hill? How is solving inequalities with multiplication and division similar to solving equations with multiplication and division? Just as two colors will, when carefully mixed, form a third and different color (yellow and blue, for example, produce green), so too it is sometimes possible to see in the cooperative efforts of living things a resultant accomplishment that defies description on the basis of the characteristics of the creatures involved. A description of the traits and performances of the individual members of a hive of honeybees or a championship athletic team hardly serves to describe the results of their joint efforts.Which of the following sentences best describes this paragraph?Make a Selection:A.The whole is greater than the sum of its parts.B.The race goes to the swift.C.Two is company while three is a crowd.D.A bird in the hand is worth two in the bush. Good morning!!puzzle given above with total 9 colours lets see who does the best !! The basic ethical principles in health care are 1. Based on this document, how would you expect the US to treat Germany?2. Why might the US feel differently toward Germany than France? hi...need help....thank you.. Dubai is challenged by all of the following environmental factors exceptABC.D. a lack of valuable natural resourcesa warm and dry climatea lack of annual rainfallscarce freshwater resourcesPlease select thebest answer from the choices provided.AOBCOD