Which of the following pairs are NOT equivalent statements?

In x = y and x = e^y

log⬇️p N = b and b^p = N

x = sqrt y and x = y^1/2

log⬇️b N = p and B^p = N

Answers

Answer 1

Answer:

the answer is b

Step-by-step explanation:

bc they are not both equivalent.

Answer 2

The pair (B) is not equivalent after using the property of logarithm option (B) is correct.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

The expression is given in the options.

As we know, the expression can be defined as the combination of constants and variables with mathematical operators.

It is required to find the equivalent pairs:

A) In(x) = y and [tex]\rm x = e^y[/tex]

As we know from the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]

Again using the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are not equivalent.

C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]

Using the property of exponent we can write the above expression:

The pairs are equivalent.

D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.

Learn more about the Logarithm here:

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Related Questions

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C

Step-by-step explanation:

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Answer:

1.475 × 10¹⁴ mi

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Holis
sawarasenaikimiwa⛓shoujonano?✨bökùWâÿariçhiñbįcchīńoosûdàyo ah

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Answer:

Oop

Step-by-step explanation:

sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo

i haded to do it lol

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Answers

The answer is

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Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

All triangles has the sum of the internal angle equal to 180

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Answers

Answer:

i answered this question so the other guy can get brainliest he deserves it

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Divide 31 by 7 to the closest whole number. 28/7 is 4 and you have 3/7 left, so you get 4 3/7

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Answer:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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y = -2/3x + 4...and this one is correct

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have a supercalifragilisticexpialidocious day!

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Answers

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Answers

Answer: option A, 3x + 5

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Answers

Answer:

Options A and B are polynomial of the fourth degree

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In this problem, option

A. 3x2y + 5x3y + 6y4

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Answer:

1/19

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Answers

Hi, did you forget to attach the two-way table to the question? I can't seem to see it, so I can't answer your question

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Answers

Answer:

120

Step-by-step explanation:

On a certain hot summer's day, 263 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50. How many children and how many adults swam at the public pool that day?

Answers

Answer:

The number of children = x = 176

The number of Adults = y = 87

Step-by-step explanation:

Let us represent

The number of children = x

The number of Adults = y

On a certain hot summer's day, 263 people used the public swimming pool.

x + y = 263.... Equation 1

x = 263 - y

The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $437.50.

$1.25 × x + $2.50 × y = $437.50

1.25x + 2.50y = 437.50.....Equation 2

We substitute 263 - y for x in Equation 2

1.25(263 - y) + 2.50y = 437.50

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x = 263 - 87

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The number of children = x = 176

The number of Adults = y = 87

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Answers

Answer:

I(20) is 600 dollars

Step-by-step explanation:

From the given function, I(p) = p(50 - p)

Where I is the income in dollars and p is price dollars.

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From

I(p) = p(50 - p)

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I(20) = 600

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Answers

Answer:

1 1/2

Step-by-step explanation:

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Answers

Answer:

7 pounds

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From the graph :

The data model:

X:

10

20

30

40

50

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2

3

4

5

6

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y = 0.1x + 1

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PLS HELP ASAP, I'll give BRAINLIEST

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Answers

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ANSWER QUICKLY PLEASE

Answers

Answer: 2.5

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6x -2x = 8+2
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On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive

Answers

Answer:

U didn't say how many miles Rita drove.

There are 12 varieties of birds in a zoo, the number of each variety being
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Answers

Answer:

below

Step-by-step explanation:

Geometric series with first term 3 and common ratio r.

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Answers

Answer:

9) 30 years

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Step-by-step explanation:

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Current pop. (in thousands) is 150

Double pop. (in thousands) is 300

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150 = 5t

t = 30

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slope of BC = -1/3

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