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podryga [215]
2 years ago
11

When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used. Wh

ich property listed below is used in all of these proofs? mc029-1. Jpg mc029-2. Jpg mc029-3. Jpg mc029-4. Jpg.
SAT
1 answer:
12345 [234]2 years ago
3 0

The property that must be used in all the proofs is: logb(b^y) =y

<h3>What are the proofs or rules of logarithms?</h3>

The proofs are statements that are used to validate or invalidate a logarithmic expression

There are several proofs of logarithms; some of them are:

  • Product rule
  • Quotient rule
  • Power rule
  • Change of base

The common property in the first three proofs (listed above) is:

\log_b(b^y) =y

This is so because, it links all the three proofs

Read more about equations at:

brainly.com/question/14323743

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The equation
ryzh [129]

Answer:

B. -3

Explanation:

Our equation is: \frac{24x^2+25x-47}{ax-2} =-8x-3-\frac{53}{ax-2} . We see that both sides have a term with denominator ax - 2, so let's add \frac{53}{ax-2} to both sides:

\frac{24x^2+25x-47}{ax-2} =-8x-3-\frac{53}{ax-2}

\frac{24x^2+25x-47}{ax-2}+\frac{53}{ax-2} =-8x-3

\frac{24x^2+25x+6}{ax-2}=-8x-3

Now multiply both sides by ax - 2:

24x^2+25x+6=(-8x-3)(ax-2)=-8ax^2-3ax+16x+6

24x^2+25x+6=(-8a)x^2+(16-3a)x+6

We essentially want to make the terms on each side match. Look at the coefficient of x² on the left side: it's 24. That means on the right side, it should be 24, as well. Then, set -8a equal to 24:

-8a = 24

a = -3

Thus, the answer is B.

4 0
3 years ago
Read 2 more answers
What would make both a russian and american of 1960 very nervous
kirza4 [7]

The 1960s was marked by the cold war between the two super powers of the World, Russia and the United States. These countries were often represented as Blue and Red on a map, blue signifying the United States and it's ally countries and Red signifying communist Soviet Union and it's allies around the world. If someone from the Soviet Union would look at the map, they would be nervous to see American Allies all around the world, including Western and Northern Western European countries, some of which were at a close distance to Moscow. On the other hand, if an American looked at the world map, they would see a Giant red Soviet Union covering all of Northern Asia and Eastern Europe. They would also see other communist countries including Cuba, where the Soviets even placed Nuclear weapons, targeted at the United States.

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I hope this helps you! Please remember to give feedback if necessary :)

3 0
2 years ago
Which of the following scenarios does NOT involve feelings leading to conflict? A. Sally ignores Betty's opinion. B. Sally feels
Oxana [17]

Answer:

C

Explanation:

Because it is the only one where sally is agreeing.

4 0
3 years ago
Which of the following is NOT one of the main three types of driving environments
Karolina [17]

The on that cannot be classified as a main driving environment is parking lots.

<h3>What is a driving environment?</h3>

This is a place designed for people to drive. Some examples of driving environments includes rural areas and cities because these usually have roads, streets, etc. for people to move on their cars.

<h3>What is not a driving environment?</h3>

A parking lot is not a driving environment because this is not designed for people to drive but only for people to leave their cars for some hours.

Note: This question is incomplete; here are the missing options:

Freeway

Rural

City

Parking lots

Learn more about parking lots in: brainly.com/question/23045801

#SPJ1

4 0
2 years ago
Which of the following statements is true of using internet of things (iot) devices in your home.
Ymorist [56]

The statement which is true of using internet of things (IOT) devices in your home is the ability to automatically manage and control activities.

<h3>What is internet of things (IOT)?</h3>

The internet of things (IOT) can be defined as the interconnection of systems and computing devices embedded in physical objects for the transmission and exchange of data over the Internet or other web communication networks.

<h3>The examples of internet of things (IOT)</h3>

In Computer science, some examples of internet of things (IOT) include the following:

  • Home automation
  • Wearable health monitors
  • Disaster management
  • Autonomous farming equipment
  • Biometric security systems
  • Smart cars

<h3>The characteristics of internet of things (IOT)</h3>
  1. Enhanced coordination and management.
  2. Greater control over communication systems.
  3. Automatic transmission and exchange of data.

Read more on internet of things (IOT) here: brainly.com/question/26037746

6 0
2 years ago
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