Mathematics College

Use the Power Property of Logarithms to write the logarithm as a product, and simplify if possible: lnx3√.

Answers

Answer 1

Answer:

[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]

Answer 2

We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

What are Logarithms?

A logarithm is the power to which a number must be raised in order to get some other number

We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]

We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]

So Given logx to the power of root three

Here consider x as a and b as root 3.

[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]

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Related Questions

All rectangles are parallelograms. Are all parallelograms
rectangles? Explain.

Answers

Answer: No

Step-by-step explanation: a rectangle can be a parallelogram because it qualifies to be a parallelogram however a parallelogram can’t be a rectangle because a rectangle has all 90 degree angles and that opposite sides can be equal and parallelograms come in different forms

use demoivre's theorem to evaluate the expression (3(cos cos(5pie/6)+isin(5pie/y))))^4 write the answer in rectangular form.

Answers

By DeMoivre's theorem,

(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))

… = 81 (cos(20π/6) + i sin(20π/6))

… = 81 (cos(10π/3) + i sin(10π/3))

… = 81 (cos(-2π/3) + i sin(-2π/3))

… = 81 (cos(2π/3) - i sin(2π/3))

… = 81 (-1/2 + √3/2 i )

… = -81/2 + 81√3/2 i

A piece of wood has the dimensions shown. What is the area of the piece of wood?
21 m
2 m
9 m
10 m
12 m
Help pls

Answers

The are piece of the wood is that you multiply then you divide these numbers and then you get the answer

16 In a flower fertilisation experiment, the
number of pink flowers grown is twice that
of red flowers. The number of white flowers
grown is 3 more than that of red flowers.
The number of white flowers grown is
37 fewer than that of pink flowers. Find the
total number of flowers grown.

Answers

Answer:

The total number of flowers grown is 163.

Step-by-step explanation:

Since in a flower fertilization experiment, the number of pink flowers grown is twice that of red flowers, and the number of white flowers grown is 3 more than that of red flowers, the number of white flowers grown is 37 fewer than that of pink flowers, to find the total number of flowers grown the following calculation must be performed:

P = 2R

W = R + 3

W = P - 37

W = W

R + 3 = 2R - 37

R + 3 + 37 = 2R

40 = 2R - R

40 = R

P = 2 x 40 = 80

R = 40

W = 40 + 3 = 43

80 + 40 + 43 = X

163 = X

Therefore, the total number of flowers grown is 163.

A $1,200 computer is losing value at a rate of 22% per year; 2 years

Answers

Answer:

$730.08

Step-by-step explanation:

22% = 0.22

1 - 0.22 = 0.78

Value after 2 years

v = 1200(0.78)²

v = 730.08

$730.08

Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?

Answers

Answer:

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

please help will give brainliest

Answers

Answer:

Step-by-step explanation:

10 times 8 = 80

80 times 3 = 240

Answer:

Step-by-step explanation:

length times width times height will give you volume

The measure of ZA Is 12° greater than the measure of ZB. The two angles are complementary. Find the measure of each angle. . The mZA IS and m/B Is

Answers

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

A population has a standard deviation of 20.2. What is the standard error of
the sampling distribution if the sample size is 144? Round your answer to two
decimal places.
A) 1.68
B) 1.84
C) 1.55
D) 1.44

Answers

Answer: 1.68

Step-by-step explanation:

A pex

Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT

Answers

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

Caleb has shelves that hold
a total of 600 boxes. What
percent of the shelves are
Full if he has 60 boxes?

Please help no links thank you!

Answers

Answer:

10%

Step-by-step explanation:

if he has 60 boxes then it would be 60/600

simplify that to 6/60 which further simplifies to 1/10 which is 10%

Answer:

600-100%

60-10%

Odp-Wynosi 10% tep-by-step explanationu Pozdrawami

Which sentence has the quotation marks placed correctly ?

1.) “Mother ," I cut my finger , said Jane.

2.) "Mother, I cut my finger," said Jane.

3.) Mother, I cut my finger, "said Jane."

4.) "Mother, I cut my finger, said Jane."

Answers

“Mother”, I cut my finger, said Jane.

Option 2 is correct.

Pwease help this is very important I will give you brain thing if its correct ♡

Answers

Answer:

1. x-8

2. I dont know sorry

Step-by-step explanation:

Answer:

1. 8 - x

The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.

2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.

Step-by-step explanation:

:-) hope this helps!

Please help, I will mark you brainiest, thank you!!

Answers

8x + 30=110
110-30=80/8=10
Your answer is x = 10

Help!!!
A) Mode
B) Mean
C) Median

Answers

Answer:

Median

Step-by-step explanation:

Median will be misleading are not asking for the midd;e price they are asking for the average price in this case you will use mean to find

Help me with this please!

Answers

What is the expression?

Answers

Answer:

F=1.8C+32

113°F

Step-by-step explanation:

F=1.8C+32

F=1.8(45)+32

F=81+32

F=113

Answers:

The expression is 1.8C+32The given Celsius temperature converts to 113 degrees Fahrenheit

==================================================

Explanation:

C = temperature in Celsius

1.8C = multiply C by 1.8

1.8C+32 = add on 32

The expression 1.8C+32 is the first part of the answer.

This represents the temperature in Fahrenheit.

----------

Now replace C with 45 and use the order of operations (PEMDAS) to simplify

I would say a Gram.

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The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?

Answers

Answer:

600 000

Step-by-step explanation:

took the same test nav

If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)

Answers

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

Combination without repetition
Permutation without repetition
Permutation with repetition
Combination with repetition

Answers

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

The problem is of the type permutation without repetition.

What is permutation and combination?

Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.

What will use in the given scenario?

In the given scenario, the order of cards is a priority therefore, permutation will use.

Also, the cards are not repeating in the scenario.

Therefore, the sequence is permutation without repetition.

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