Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2

Answers

Answer 1

Answer:

㏒(2x²) = ㏒(2) + 2㏒(x)

Step-by-step explanation:

As given,  ㏒(2x²)

As we know that ㏒(MN) = ㏒(M) + ㏒(N)

⇒㏒(2x²) = ㏒(2) + ㏒(x²)

As we know that ㏒(xⁿ) = n㏒(x)

⇒㏒(2x²) = ㏒(2) + 2㏒(x)

∴ we get

㏒(2x²) = ㏒(2) + 2㏒(x)


Related Questions

PLEASE HELP!!!!
Find the length of the missing side. The triangle is not drawn to scale.
100
10
48

Answers

Answer:

10

Step-by-step explanation:

pythagorean theorem

take the sum of the square of each leg and set it equal to the square of the hypotenuse

8² + 6² = x²

64 + 36 = x²

x² = 100

x = [tex]\sqrt{100}[/tex] or 10

Answer:

B.10 units

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem which states that a^2+b^2=c^2

Plug in what we know....

8^2+6^2=c^2

64+36=c^2

c=sqrt(100)

c=10 units or B

An hour before showtime only 105 people have a ride for a concert according to sales 95% of the people have yet to arrive how many tickets were sold for the concert explain

Answers

Given:

An hour before showtime only 105 people have arrived for a concert.

According to sales 95% of the people have yet to arrive.

To find:

The total number of tickets sold.

Solution:

Let x be the total number of tickets sold.

According to sales 95% of the people have yet to arrive.

[tex]100\%-95\%=5\%[/tex]

It means, only 5% people have arrived.

[tex]\dfrac{5}{100}x=105[/tex]

[tex]\dfrac{1}{20}x=105[/tex]

[tex]x=105\times 20[/tex]

[tex]x=2100[/tex]

Therefore, the total 2100 tickets were sold.

Can someone please help me with b c and d?

Answers

Answer:

DO NOT CARE

Step-by-step explanation:

HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.

Answers

Answer:

B = 114

Step-by-step explanation:

and i answered first

Jared measured a house and its lot and made a scale drawing. The scale of the drawing was 5 millimeters : 3 meters. The actual length of the front lawn is 69 meters. How long is the lawn in the drawing?

Answers

Answer:

115mm

Step-by-step explanation:

5/x = 3/69

5/x = 1/23

5*23 = x

115 = x

Simply 5 sin theta sec theta

Answers

Answer:

d 5 tan theta

Step-by-step explanation:

5 sin theta x 1/cos theta

5 (sin theta/cos theta)

5 tan theta

D 5 than theda is what it would be

Write as an algebraic expression.
1. the sum of m and 8



Answers

Answer: m+8 =

Step-by-step explanation:

Need Help Fast!!!!
Will Mark Brainlist!!!!
Will Rate!!!!
9th Grade Honors Geometry

Answers

Answer:

The Correct Answer is 4!

Step-by-step explanation:

We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees

with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...

X=4.

That's it Hope I Helped.

The answer is 4 please like

The price of a pair of jeans increases from £45.00 to £47.50.

What is the percentage increase in the price of the jeans?

Give your answer correct to 1 decimal place.

Answers

The price increase is 5.56%

HELP ASAP PLS

Without using a calculator order the following numbers from least to greatest

8 √58 7

Answers

Answer:

7, √58, 8

Step-by-step explanation:

7 x 7 = 49

8 X 8 = 64

49, 58, 64

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Mathematics.

Applying the simple squares of 7 and 8.

7*7= 49 and 8*8=64

hence square root 58 is more than 7 but less than 8

hence we get as,

[tex]7 < \sqrt{58 } < 8[/tex]

please help asap!!!!!!!!!!!!

Answers

7853.98mm

Step-by-step explanation:

Circumference is pi times diameter so the diameter is 100 millimeters

Diameter is 2 times the radius so the radius is 50 millimeters

Area is pi times the radius squared so the area is about 7853.98 millimeters squared

Answer:

A = 795.77

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=1002

4·π≈795.77472

Part A: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. Write an equation in standard form that represents the situation
____x+____ y=____

Part B: You have $0.80 in your backpack in dimes and quarters. Let x represent the number of dimes and y represent the number of quarters. If you have 2 quarters in your backpack, how many dimes do you have?
______


Answers

Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Therefore you have 3 dimes

A test has multiple choice questions worth 2 points and short answer questions worth 3 points. There are 45 points on the test. Write an equation in standard form that represents this situation using the
variables x and y
Help plz

Answers

2x+3y=45

x represents multiple choice questions

y represents short answer

you can also write it as 3x+2y=45

in this case, x represents short answer questions and y represents multiple choice.

What is the coefficient of the second term of the trinomial? (In other words, what is B?)

(3x − 1)^2 = 9x^2 −Bx + 1

In the blank, write what B equals. Use only numbers - no letters or spaces.

Answers

Answer:

b = 6

Step-by-step explanation:

Let's solve for b.

(3x−1)2=9x2−bx+1

Step 1: Flip the equation.

−bx+9x2+1=9x2−6x+1

Step 2: Add -9x^2 to both sides.

−bx+9x2+1+−9x2=9x2−6x+1+−9x2

−bx+1=−6x+1

Step 3: Add -1 to both sides.

−bx+1+−1=−6x+1+−1

−bx=−6x

Step 4: Divide both sides by -x.

b = 6

Hope this helpss!!!

Answer each question based on the graph below. How many solutions does this system have? ___________________ List the solution(s) to this system ____________________ What is the x-intercept of the linear equation? ____________________ What is the y-intercept of the quadratic equation? ____________________

Answers

No graph attached...

I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?

Answers

Answer:

35

Step-by-step explanation:

Please look at the attachment down below.

Hope this helped! :)

The  sum of three number is 35.

What is Square?

A square number is the result when a number has been multiplied by itself.

For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.

Given:

if the number given is 9

9² - (9 - 1)² = 9² - 8²

                 = 81-64

                  = 17.

if the number given is 6.

6² - (6 - 1)² = 6² - 5²

                 = 36-25

                 = 11.

if the number given is 4.

4² - (4 - 1)²= 4² - 3²

                = 16-9

                = 7.

Thus, the sum of three number is

=17 + 11 + 7

= 35

Learn more about square here:

https://brainly.com/question/14198272

#SPJ2

Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?

Let K = Kitten and C = Callie the Cat

A) K= 1/2C-3
K+C=18

B) K= 1/2C+3
K-C=18

C) K= 1/2C+3
K= -C+18

D) K= 1/2C-3
C - K=18

Answers

A) K=1/2C-3
K+C=18

Hope this helps! Have a great day :)

Answer:

A) K=1/2C-3

K+C=18

Step-by-step explanation:

3x+2.2is equal to x=1.7

Answers

Answer:

7.3 answer

Step-by-step explanation:

x=1.7

now

3x+2.2

3×1.7+2.2

7.3

This is a question for geometry and its pretty hard.

Answers

Answer:

m EAD = 56

m EDA = 35

x = 4

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.

2x + 3 = 11

2x = 8

x = 4

Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35

Help me for 25 points !!!! And brainlist!!!!

(Don’t answer if u don’t know cause then i will report you)

Answers

Answer:

its 37° because both the triangle are congruent to each other.

Step-by-step explanation:

i answer ur ans how much i know but please don't report me okay

i think it’s 37

EXPLANATION:

Please simplify I need the extra credit all answers get brainiest.

Answers

Answer:

3/10a^15b^7c^4

Step-by-step explanation:

sorry its kinna hard to explain

please help and show work! :)

Answers

Step-by-step explanation:

how do you show work cuz I screenshot it but it won't let me write over the thing and put the answer so can I just type it out

find the number of inches needed to represent 300 miles if one fourth in =50 mi​

Answers

Answer:

1.5 in

Step-by-step explanation:

if one quarter of an inch represents 50 mi then and we know 50 x 6 = 300 then you would need 6 fourths of an inch or one and a half inches.

A tepee has a circular floor with a radius of 3 meters. What is the floor's diameter?

Answers

Answer:

6 meters

Step-by-step explanation:

To find diameter if you have radius, multiply the radius by 2. In this case 3 x 2.

Hope it helps!

Step-by-step explanation:

how do i delete this? TwT

answer all question pls

Answers

Step-by-step explanation:

3. Between √9 and √16 or 3 nd 4

5. D

6. 7cubic inches

7. 8/45

8. 0.5 m

9. 4/25

Explain how feel about trump being impeached a second time this time for the mobs action​

Answers

Even though I understand that everyone has their own opinion about this subject, I am glad that he is being held accountable for his actions. Though some may claim that the mobs were planning the attack before he implemented violence, I still believe that they were further influenced during his speech.
I don’t know but all I can tell you is I like trump better then Biden Biden can’t even speak right

what’s 3-4/7 equal as a fraction?!

Answers

Answer:

17/7 or 2 3/7

Step-by-step explanation:

3 is the same as 21/7. Subtract 21/7-4/7 to get 17/7.

Hope it helps!

Hey there. Hope you're having a pleasant morning/evening and wherever else in between. The answer of 3-4/7, as far as I can remember, is -1/7.

Can someone pleaseeee help and if you’re correct I’ll give u brainlist!

Answers

Answer:

Rotations, Reflections

Step-by-step explanation:

This is going to be our answer because we know that a figure has some kind of rotation.

A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.

So our answer would be Rotations, Reflections!

Hope this helps!

If it is correct please mark as Brainllest!

Have a good Day!


help me please it’s due today

Answers

Answer: -1/2

Step-by-step explanation:

Find the scale factor
A. 3.5
B. 3/5
C. 35

Answers

Answer:

3.5

Step-by-step explanation:

35/10 = 3.5

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