Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.



log(x3y−8−−−−−−√)

Answers

Answer 1

Answer:

You are multiplying two factors in the argument.  So we add the logs.

log(x4y3) + log((x2y5)1/3)

log(x4y3) + log(x2/3y5/3)

For each log term. The arguments are being multiplied.  So we further add the logs.  Also, any exponents become of the coefficients of logs.

4log(x) + 3log(y) + (2/3)log(x) + (5/3)log(y)

Combine like log terms.

(14/3)log(x) + (14/3)log(y)

Hope it helps!!!!!!brainliest pls!!!!!!


Related Questions

Help me! Please.✅✅✅✅✅✅

Answers

Answer:452.38934211693

Step-by-step explanation:

Pls help!!! The problem is in the photo.

Answers

the answers for a:8
the answer for b:2

Question 3
It takes 2 2 hours to type a 7-page report. It takes / hour to photocopy the 11 copies of the report.
How long did it take to complete the report? (Tick appropriate box)
0 4 Hours
3 Hours and 45 minutes
O 2 Hours and 45 minutes

Answers

Answer:

3 Hours and 45 minutes

Step-by-step explanation:

2 hours and 30 minute 11/4 is 1 hour and 15 minutes add that and its get 3/45

my equation is - 3 = X + 8

Answers

Answer:

X=-11

Step-by-step explanation:

Isolate the varible. Substract 8 on both sides to get X equals -11

X would equal -11
Hope this helps!

HOW DO I DO THIS[tex]j[/tex]

Answers

Answer:

times them

Step-by-step explanation:

all the numbers

Help please it's urgent

Answers

Answer:

7.6

Step-by-step explanation:

please make me brainliest

Answer:

it’s me on another account make my other title brainliest now :D

Step-by-step explanation:

How to find angles C and D.

Answers

Answer:

c = 21º

d = 100º

Step-by-step explanation:

In questions like this, always find the angles you can find and it will help you find more and more.

So let's start by finding angle e. We know that the sum of the angles in any triangle is equal to 180. So let's do 180 - (20 + 20) = 140

angle e = 140º

Now we don't know either C or D and are unable to find them with only e, so let's find other angles to help us. The 4 angles that aren't known at each corner of the square are easy to find, as we know for sure that they fully equal to 90º. So 90 - 20 = 70º. Both angles at the bottom corners = 70º. Now for the top corners: top left = 90 - 30 = 60º and top right = 90 - 40 = 50º.

As well as this, we can find a and b as well, but I think you already figured that out. angle a: 180 - (30 + 40) = 110º, angle b: 360 - (140 + 110) = 209º

Now we can figure out c and d, because we know that the sum of all angles in any quadrilateral is 360º. So the trapezium on the left, angle c: 360 - (70 + 60 + 209) = 21º. And finally right trapezium, angle d: 360 - (70 + 140 + 50) = 100º

What is the perimeter of the rectangle?

Answers

Answer:

12

Step-by-step explanation:

Answer:

The perimeter is the outside of the rectangle

Step-by-step explanation:

You see this by looking at the outside and the answer is 4 by 3

A. Fill in the missing even or odd numbers.
- 16
1) 6, 8, 10,
2) 38, 42, 46,
58
3) 80, 74, 62, 56,
4) 61, 63, 65, _ 71
5) 109, 107, 105,99

Answers

1) 12, 14

This is the answer because each increasing number was increased by 2, so if you add 2 to 10, you'd get 12. If you add 2 to 12, you would get 14.

2) 50, 54

Same explanation as above but for the number 4.

3) 68, 50

Same explanation as 1, but with subtracting the number 6.

4) 67, 69

Same as number 1

5) 103, 101

Same as number 3 but subtracting the number 2

Hope this helps!!! :)

Can anyone help me solve this series problem?

Answers

Answer:

32 by using triangle taerem

1. what is the value of 8:3 = 24:x

Answers

Answer:

x = 9

Step-by-step explanation:

8 : 3 = 24 : x

=> 8/3 = 24/x

=> x = 24 x 3 / 8

=> x = 3 x 3

=> x = 9

HELP PLEASE!

Three consecutive integers have a sum of 57. Find the integers.

Answers

Answer:

18, 19, and 20.

Step-by-step explanation:

Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.

Evaluate −2x2−4x+3 when x=−2.

Answers

Answer:

-2 x 2 - 4x + 3

If x = -2, then . . .

-2 x 2 -(-4 x -2) + 3

-2 x 2 + 8 + 3

The answer is 7

-2x2-4x+3 = 7

I know this because of

( )

Exponents

x or /

+ or -

-2x2-4(2)+3 = 7 because x=3 so,

-2x2-8+3

7

Which solid has a triangle as its side view and a triangle as a cross section perpendicular to its base?
A. cone
B. cylinder
C. triangular prism
D. pentagonal prism

Answers

Answer:

A

Step-by-step explanation:

No explaintion sorry.

Hope this helps!

Can you please help me please can you answer both of these questions

Answers

Answer:

Item 2

Perimeter is (5*2) + 12.5*2 = 35 ft

Area is 12.5 * 5 = 62.5 ft^2

________________

Item 3

perimeter is (5.8*2) + 9*2 = 29.6 ft

Area is 9 * 4.8 = 43.2 ft^2

Step-by-step explanation:

Hope to help you

Formular of area. you can find in internet. If you forgot.

and perimeter can take length each side to sum.

• 3 skittles are red • 6 skittles are green • 3 skittles are blue A skittle will be randomly selected from the bag. What is the probability in decimal form that the skittle selected will be green?

Answers

Answer:

13.4

Step-by-step explanation:

You multiple all of numbers and divide it by 4

Answer:

The probability of pulling out a green skittle in decimal form is 0.5

Step-by-step explanation:

Hope that helps

A local school board wants to determine the proportion of households in the district that would support starting the school year a week earlier. They ask a random sample of 100 households whether they would support starting the school year a week earlier, and 43 households responded that they would. The school board plans to construct a 95% confidence interval for the true proportion of households that would support starting the school year a week earlier. Are the conditions for inference met?

A)Yes, the conditions for inference are met.
B)No, the 10% condition is not met.
C)No, the randomness condition is not met.
D)No, the Large Counts Condition is not met.

Answers

The conditions for inference is not met in the question due to the fact that the large count condition is not met.

What is the large count condition in statistics?

This is the condition in statistics that states that the numbers of the successes and the failures have to be greater than 10 for there to be a normal distribution.

Using this formula n(1-p) ≥ 10. The probabilioty is 95%, therefore it would be less than 10

Read more on statistics here: https://brainly.com/question/15525560

i need help on this question

Answers

Answer:

Step-by-step explanation:

∠WTX = ∠WUV (facing same arc WV)

9x + 18 = 15x

6x = 18

x = 3

In ΔXUV,

∠VXU = 180 - 15x - (3x + 21)

= 180 - 18x - 21

= 159 - 18(3)

= 159 - 54

= 105°

Brainliest if correct

Answers

Answer:

[tex]\frac{2}{3} + \frac{1}{5} = \frac{10}{15} +\frac{3}{15} = \frac{13}{15}[/tex]

PLEASE BRANLIEST ANSWER IS CORRECT I CHECKED

Step-by-step explanation:

First, find the least common denominator which is 15.

[tex](\frac{5}{5})\frac{2}{3} + (\frac{3}{3})\frac{1}{5}[/tex]

When we multiply by 5/5 or 3/3 we are not changing the value of the fraction, just turning the denominator into one which we can work with the other fraction's denominator.

After simplification:

[tex]\frac{10}{15} + \frac{3}{15}[/tex]

Now we can add:

[tex]\frac{13}{15}[/tex]

Answer:

13/15

Step-by-step explanation:

because 5 x 2=10                  3 x 1=3

              5 x 3=15                5 x 3=15

   10/15+3/15= 13/15

Please help meeeeeee

Answers

Answer:

a) 45°=x

b) not

................

Maria has 7 gallons of water. Josh has 24 quarts of water. How many more cups of water does Maria have than Josh​?

Answers

Answer: Maria has 16 more cups of water than Josh

Step-by-step explanation:

Answer:

38.51

Step-by-step explanation:

1 gal: 19.21 cups

7 gal x 19.21 cup = 134.51 cups

1 quart: 4 cups

24 x 4 = 96 cups

134. 51 - 96 = 38.51 cups

Have an amazing day!

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A plumber charges $50 to visit a house plus $40 for every hour of work. Define a variable to represent the unknown quantity. Then write an expression to represent the total cost of hiring a plumber.

Answers

Answer:

50 + 40x

Step-by-step explanation:

Learning POST-Qunz Greatest Common Factor - Item 31123 Ques Drag each pair of numbers to show if their greatest common factor (GCF) is less than 6, equal to 6, or greater than 6 CLEAR CHE 8 and 20 18 and 45 4 and 10 12 and 28 12 and 30 16 and 24 GCF is less than 6. GCF is equal to 6. GCF is greater than 6. DRAG AND DROP ITEMS DRAG AND DROP ITEMS HERE DRAG AND DROP ITEMS HERE be here to search 昌 52°​

Answers

The common factors for 24,36,12 24 , 36 , 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .

A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in. The prism is filled with cubes that have edge lengths of 1/2 in.How many cubes are needed to fill the rectangular prism

Answers

Solution:

Step-1: Find the volume of the rectangular prism.

Volume of rectangular prism: LBH=> Volume of rectangular prism: (10)(2)(3 1/2)=> Volume of rectangular prism: (10)(2)(3.5)=> Volume of rectangular prism: (2)(35)=> Volume of rectangular prism: 70 in³

Step-2: Find the volume of the small cube.

Volume of cube: L³=> Volume of cube: (1/2)³=> Volume of cube: (1³/2³)=> Volume of cube: (1/8)

Step-3: Divide.

70 ÷ 1/8 => 70 x 8=> 560 cubes

Thus, 560 cubes are needed to fill the rectangular prism.

please help asap
perform the indicated operation. Write the answer in the form a+bi.
(3-10i)(2+4i)

20 points

Answers

Answer:

  46 -8i

Step-by-step explanation:

Multiplication of complex numbers is done in a fashion similar to multiplication of any binomials. The difference is that i² = -1, so some terms can be combined.

  (3 -10i)(2 +4i) = 3(2 +4i) -10i(2 +4i)

  = 6 +12i -20i -40i² = 6 -8i +40

  = 46 -8i

_____

Your calculator may be able to help.

what is thisssss hellooo

Answers

Answer:

I think your answer is 73".

I think it will help you

find the cardinality of x , if x={-n,...,-2,-1,0,1,.....n}

Answers

Answer = 2n + 1
Cardinality is the number of elements in a given mathematical set.
In this set,the cardinality is 2n + 1
Explanation the n is a certain number and also in this set it has both negative and positive n
Before the number of elements in this set excluding one (which is 0 is 2n then the other one is added
Hence the cardinality is 2n + 1

Write an equation of the form y = mx for the line shown below. If appropriate, use the decimal form for the slope.

Answers

Answer:

y=3/4x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-3))/(4-(-4))

m=(3+3)/(4+4)

m=6/8

m=3/4

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

100 POINYS AND BRIANLIST

Answers

Answer: See below

Step-by-step explanation:

Let A represent an adult who visited a therapist

Let B represent an adult who used a non-prescription antidepressant

Given:
P(A) = 0.28 P

P (B) = 0.43

P(A Intersection B) = 0.22

a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27

P(B | A) = 0.79 or 79%

b)  P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3

P(A | B) = 0.51 or 51%

Answer:

(a)  44.44%

(b)  71.43%

Step-by-step explanation:

Let A = adults who visited a therapist.

Let B = adults who used antidepressants.

Therefore:

P(A) = 0.28P(B) = 0.45P(A ∩ B) = 0.20

Part (a)

[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\A given B:\\\\$\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}$\\\end{minipage}}[/tex]

To calculate the probability that an adult visited a therapist (Event A) during the past year, given that he or she used antidepressants (Event B), use the conditional probability formula for A given B:

[tex]\implies \sf P(A | B)=\dfrac{PA \cap B)}{P(B)}[/tex]

[tex]\implies \sf P(A | B)=\dfrac{0.2}{0.45}[/tex]

[tex]\implies \sf P(A | B)=0.444444...[/tex]

[tex]\implies \sf P(A | B)=44.44\%\;\; (nearest\; hundredth)[/tex]

Part (b)

[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\B given A:\\\\$\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}$\\\end{minipage}}[/tex]

To calculate the probability that an adult used antidepressants (Event B), given that he or she visited a therapist (Event A) during the past year, use the conditional probability formula for B given A:

[tex]\implies \sf P(B | A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

[tex]\implies \sf P(B | A)=\dfrac{0.2}{0.28}[/tex]

[tex]\implies \sf P(B | A)=0.714285714...[/tex]

[tex]\implies \sf P(B | A)=71.43\%\;\; (nearest\; hundredth)[/tex]

Rong Huang can buy 4 books with 2/9 of his money. He can buy another 8 such books and 2 identical bags with the rest of his money. How many such bags can he buy with the original sum of money?

Answers

Step-by-step explanation:

remember, that a/a = 1, and this is always the "whole" in such fraction scenarios.

in our case here : 9/9 or 3/3.

4 books for 2/9 of his money.

8 books for then 2× 2/9 = 4/9 of his money.

that is together

12 books for 6/9 = 2/3 of his money.

that leaves 3/9 = 1/3 of his money for the 2 identical bags.

so, 1/3 of his money for 2 bags.

how many bags for the whole (3/3) money ?

1/3 × x = 3/3

x = 3

he could have bought 3×2 = 6 bags with the original sum of money.

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