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

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

Answers

Answer:

20%

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

The Percentage of the down payment is given as:

Down payment/Cost of the house × 100

Down payment = $25,000

Cost of the house = $125,000

$25,000/$125,000 × 100

= 20%

The percentage is 20%


Which of the following graphs could describe the system of equations?
A Blue
B Green
C Pink
D Purple

Answers

Answer:

The answer is...

Step-by-step explanation:

Purplea

A shoe store uses a 50 percent markup for all of the shoes it sells . What would be the selling price of a pair of shoes that has a wholesale cost of 65$

Answers

Answer:

97.50

Step-by-step explanation:

65.00x50%=32.50

32.50+65.00=97.50

Answer:

/

Step-by-step explanation:

A rectangular prism has a volume of 320 cubic feet. If the area of the base is 80, what is the height of the figure?
a.10ft
b.240ft
c.4ft
d.400ft

Answers

Answer:

Step-by-step explanation:

H = 320/80 = 4 ft

Am i the only one that watches Osman??

Answers

Someone else in the world may watch it but personally i do not.

Answer:

Please Give Brainliest

Step-by-step explanation:

The answer choices are:

Y=-4
Y=1
X=-4
X=1

Answers

Answer:

y=1

Step-by-step explanation:

Which situations can be represented by an exponential function?

Select each correct answer.



The value of a vehicle decreases by 11% each year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
A dentist's office accepts 15 new patients each month.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

Answers

Answer:

The answer is IC and D I just finished the text

Step-by-step explanation:

Can someone answer this please: 37.3 rounded to the nearest integer

thank you <3​

Answers

Answer:37

Step-by-step explanation:

rounding to the nearest integer is what is in the tenth place so .1 is in the tenth place so 37.3 rounded to the nearest tenth place would be 37

what is the value of the 8 in 5.349 in decimals​

Answers

0.08 in decimals !


sorry if it’s wrong but I hope this helped <33

Can someone plz help me

Answers

Answer:

28 in

Step-by-step explanation:

Given is an isosceles triangle.

In an isosceles triangle, measure of the sides opposite to the equal angles are equal.

Therefore,

3x + 2 = x + 6

3x - x = 6 - 2

2x = 4

x = 4/2

x = 2 in

x + 6 = 2 + 6 = 8

Perimeter of the triangle

= 8 + 8 + 12

= 28 in

what is the circumference of a circle that that is d=23 ft.

Answers

72.26 is the answer I think

Answer:

72.26ft

Step-by-step explanation:

WILL GIVE BRAINLIEST AND 20 POINTS!
Find the LCM.
11, 13
STEP 1: Define the LCM (least common multiple).
The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the numbers.
The LCM can be found by first writing each number as a product of prime factors.
The LCM must contain all the prime factors of each number.

STEP 2: Determine the prime factorization of each number.
Determine the prime factorization of 11.
11 =


Determine the prime factorization of 13.
13 =


STEP 3: Multiply all of the prime factors.
11 ×
=
LCM =

Answers

Answer:

143...is the lcm...

Step-by-step explanation:

lcm (11; 13) = 143: least common multiple, calculated. Numbers have no common prime factors: 143 = 11 × 13...................

Find the area of the composite figure.

Answers

36 I believe is the answer

Have a good day

Answer:

144

Step-by-step explanation:

Urgent please!!! I really don’t understand it, tysm to anyone who can answer thissss :))))

Answers

Given:

The frequency distribution table.

To find:

The mean average score on a test.

Solution:

The frequency distribution table is

[tex]Marks (x_i)[/tex]                   [tex]Frequency(f_i)[/tex]                  [tex]f_ix_i[/tex]

     x                                     a                               xa

     y                                     b                               yb

     z                                     c                               zc

  Sum                              a+b+c                          xa+yb+zc

Now, the mean average score on the test is

[tex]Mean=\dfrac{\sum f_ix_i}{\sum f_i}[/tex]

[tex]Mean=\dfrac{xa+yb+zc}{a+b+c}[/tex]

Therefore, the mean average score on the test is [tex]\dfrac{xa+yb+zc}{a+b+c}[/tex].

Boots are now $33 with 40% off. What is the original price ?

Answers

Answer:

40% of 82.5 is 33

Step-by-step explanation:

Sorry I am late, have a wonderful day!

THIS IS URGENT

Simplify 5^3/4 divided by 5^5/9 by substituting a numerical value for a in the expression.

5^a

Answers

Answer:

a=7/36...............

Simplify the following expression completely
(5x4+5x3-17x2+6x)-(3x4+6x3-7x2-12)/x+2



Please show your work

Answers

Answer:

6x^2+3x-4/x

Step-by-step explanation:

first multiply to get (20+5x3-17x2+6x)-3x4+6x3-7x2-12/x+2

then remove the two opposites that add up to zero to get (20+15-34+6x)-6x3-7x2/x+2

then remove unnecessarry parentheses to get 1+6x-18-14/x+2 and then calculate to get 3+6x-4/x

then write all of the numerators above the common denominator to get 3x+6x^2-4/x and reorder the terms to get your solution which is 6x^2+3x-4/x

please give brainliest it took forever lol

tysm for all your help Here is a crown and points. contest the first answer will get a mark

Answers

WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT

Answer:

AHH

Step-by-step explanation:

find the distance of a cord 8cm from the centre of a circle of a radius 5 cm​

Answers

Answer:

d = 3 cm

Step-by-step explanation:

Given that,

The distance of a cord, c = 8 cm

The radius of the circle, r = 5 cm

Half of the cord = 4 cm

We need to find the distance of a cord from the centre of the circle. We can find it using Pythagoras theorem,

[tex]5^2=d^2+4^2\\\\d^2=25-16\\\\d=3\ cm[/tex]

So, the required distance is 3 cm.

What is 50% of 33 show work please​

Answers

Answer:

16.5

Step-by-step explanation:

50 x 33

-------------

100

= 16.5

Need help with finding X

Answers

Answer:

Step-by-step explanation:

In the middle school band, there is 1 oboe for every 7 clarinets. Identify three equivalent ratios to compare the oboes to the clarinets.

Answers

Answer:

지금 당장받는 퀴즈에 대한 도움이 정말 필요 해요 ... 그냥 질문에 무작위로 답 해주셔서 ... 미안 해요 미안 해요 .. 또한 몬스타 엑스를 아시나요, 그들은 정말 좋은 그룹입니다

Step-by-step explanation:

Answer:

1/7, 2/14, 3/21

Step-by-step explanation:

Finished the quiz and got 100%.

Help me ASAP pleaseeee

Answers

Answer:

no

yes

no

yes

Step-by-step explanation:

Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?

Answers

Answer:

2n^2 + n + 4.

Step-by-step explanation:

7, 14, 25, 40, 59

The differences  are 7, 11, 15, 19 which is  arithmetic sequence so the given sequence is quadratic.

Compile a table:

n                     1      2      3      4      5

term               7    14    25    40    59

Diff:                    7      11     15     19

Diff:                      4       4      4            - this indicates that first part is 2n^2.

2n^2               2    8    18    32     50

term-2n^2      5    6    7     8        9

- the nth term for the last sequence is  5+ (n - 1)d =  

= 5 + (n - 1)* 1

= n + 4.

So nth term for the original sequence is 2n^2 + n + 4.

Haley made 88% on a history test. The
test had 50 questions of equal point value.
How many questions did Haley miss?

Answers

Answer:

She missed 6 questions.

Step-by-step explanation:

88% can be written as (88/100) or as 0.88.

You can set this as a ratio problem which is,  

88/100 = correct/50

correct = (88/100)*50       (multiply both sides by 50)

correct = 44

So, 50 (total questions) - 44 = 6 incorrect questions

A student has $30. Berries cost $3 per pound.Which inequaility shows n, the number of pound he can buy?

Answers

Hi, not sure if I’m absolutely correct but it should be 10 pounds

What algebraic representation best describes the transformation below?

A. (x, y) --> (2x, 2y)
B. (x, y) --> (x+1, y+2)
C. (x, y) --> (1/2x, 1/2y)
D. (x-2, y+1)

Answers

Answer:

A. (x, y) --> (2x, 2y)

B. (x, y) --> (x+1, y+2)

C. (x, y) --> (1/2x, 1/2y)

D. (x-2, y+1)

work out the value of x and y?

Answers

Step-by-step explanation:

x = 49° { being vertically opposite angles }

y = 63° (being alternate angles)

Hope it will help :)

Please help ASAP! Due in 10 mins

Answers

Answer:

C : The coefficients and constants will always be the same

Step-by-step explanation:

This is because infinitely many solutions means that the lines are both right on top of each other and there is not an intersection.

Dane needs to cut 4 strips of border for his rectangular project board. The project board has a length of 12 1/2 inches and a width of 6 1/4 inches. How much border will Dane have left if the border comes in a 60-inch roll?

Answers

22.5 inches left. Calculate all the inches then subtract from 60.
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