1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xeze [42]
3 years ago
13

PLEASE HELP!!! THX

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
3 0

Answer:  1) Product property of logarithm,

2) Subtraction property of logarithm

3) Equality property of logarithm

Step-by-step explanation:

By the Product property of logarithm,

log a + log b = log(a.b)

And, By the Subtraction property of logarithm

log a - log b = log(a/b)

Also, by the equality property of logarithm,

log(a) = log(b) ⇒ a = b

Given expression,

log_2(5)+log_2(x+2)-log_2(x+1)=log_2(7)                                                                

\implies log_2(5(x+2))-log_2(x+1))=log_2(7)  (Product property of logarithm)

\implies log_2(\frac{5(x+2)}{2(x+1)})=log_2(7)  (Subtraction property of logarithm)

\implies \frac{5(x+2)}{2(x+1)}=7   ( Equality property of logarithm )

\implies 5(x+2)=7(x+1)    ( Multiplicative property of equality )

\implies 5x+10=7x+7  ( Distributive property of equality )

\implies 3=2x    (subtraction property of equality )

x=\frac{3}{2}       (division property of equality )

n200080 [17]3 years ago
3 0

Answer:

Product property of Log

Quotient property of Log

Equality property of log

(I just did it. It showed me that this was the correct answer. Good luck any future person reading this.)

You might be interested in
White alphabet used to denote matrix and its element with example​
Oksanka [162]

Answer:

Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest.

Step-by-step explanation:

Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest. Im not sure how to be honest.

3 0
3 years ago
How do you do this Problem using factoring (fx)=4x^2-25?
Yanka [14]

Answer: (2x+5)(2x−5)

Step-by-step explanation:For me, what i like to do is to try divide the problem into two parts. For example in this problem, you would divide the 4x^2 into two 4x(since 4x+4x = 4x^2). Then 25 can be divide into into 5s (5x5=25). SInce you know that its a negative 25, you know that it has to be a negative on one of the sides. So the answer in factor form is (2x+5)(2x−5)

5 0
3 years ago
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
3 years ago
The cost of item A is $8 and the
yKpoI14uk [10]

Answer: the number of item A that you sold is 11

the number of item B that you sold is 2

Step-by-step explanation:

Let x represent the number of item A that you sold.

Let y represent the number of item B that you sold.

The total number of item A and item B sold is 13. This means that

x + y = 13

The cost of item A is $8 and the

cost of item B is $4. The total amount if money made is $88. This means that

8x + 4y = 88 - - - - - - - - - -1

Substituting x = 13 - y into equation 1, it becomes

8(13 - y) + 4y = 88

104 - 8y = 88

8y = 104 - 88 = 16

y = 16/8 = 2

x = 13 - y = 13 - 2 = 11

7 0
3 years ago
Read 2 more answers
Bubba Bulldog and all of his dog friends love to hide bones! Bubba hid 444 bones, Barry hid 555 bones, Larry hid 101010 bones, a
Nezavi [6.7K]

Answer:

58330.5 bones

Step-by-step explanation:

Essentially mean is taking the total and dividing that by the number of items.

Here, we need to add up all the bones and divide it by the number of dogs there are:

444 + 555 + 101010 + 131313 = 233322 bones

There are 4 dogs:

233322 / 4 = 58330.5 bones

4 0
3 years ago
Read 2 more answers
Other questions:
  • The slope is -5/3. What is the equation for the slope?
    11·1 answer
  • A researcher obtains a negative value for chi-square statistic. What can you conclude because the value is negative?
    15·1 answer
  • What is the slope for y=3x-4? What is the y-intercept for y=3x-4?​
    14·1 answer
  • The cost depends upon the number of long distance minutes, m, Amy uses. Write the rule that describes Amy's monthly cost.
    8·1 answer
  • 12,108 round to nearest thousand
    7·1 answer
  • Which of the following pairs of functions are inverses of each other?
    6·1 answer
  • MARKING BRAINLIEST FOR BEST ANSWER 5% of 650= 32.5 but show the work how it equals 32.5
    5·1 answer
  • What is the answer to the question
    8·1 answer
  • PLS HELP ASAP RN ON 4 AND 5
    12·1 answer
  • Rae wants to poll the students in her school to find out their favorite subject.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!