2 log x - log y - 2 log z as a single logarithm

Answers

Answer 1

Answer:

log ( x^2/(yz^2))

Step-by-step explanation:

2 log x - log y - 2 log z

We know a log b = log b^a

Rewriting

2 log x = log x^2  and 2 log z = log z^2

log x^2 - log y -  log z^2

Rewriting

log x^2 - (log y +  log z^2)

We know that log a + log b = log (a*b)

log x^2 - (log (y z^2))

And we know log a - log b = log (a/b)

log ( x^2/(yz^2))

Answer 2

Answer:

[tex]log\frac{x^2}{yz^2}[/tex]

Step-by-step explanation:

Simplify 2log(x) by moving 2

inside the logarithm.

Simplify 2log(x) by moving 2

inside the logarithm.

log(x^2)−log(y)−2log(z)

Simplify −2log(z)

by moving 2

inside the logarithm.

log(x^2)−log(y)−log(z^2)

Use the quotient property of logarithms, logb (x)−logb (y)=logb (x/y)

[tex]log\frac{x^2}{y} - log(z^2)[/tex]

Use the quotient property of logarithms, logb(x)−logb(y)=logb (x/y)

[tex]log (\frac{x}{y})/( \frac{1}{z^2}}][/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]log\frac{x^2\\ }{y}.\frac{1}{z^2}[/tex]

Combine.

[tex]log\frac{x^2*1\\ }{yz^2}[/tex]

Multiply [tex]x^{2}[/tex] by 1

[tex]log\frac{x^2}{yz^2}[/tex]


Related Questions

Find the line of symmetry.

f(x) = -2x2 + 12x - 20

Answers

X=3


Hope this helps :)

Help please asap will mark brainliest !

Answers

Answer:

The answer for G and K is 103

The answer for K and J is 77

The answer for I and H is 43

WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT

Answers

Answer:

16.8km

Step-by-step explanation:

Arc length = 2πr(θ/360)

=2π(8)(120/360)

=16.7551608191

≈16.8km

Answer:

16.8 km

Step-by-step explanation:

Arc length = 2πr (θ/360)

So plug in the values:

2π(8)(120/360)      =        16π(1/3)      =       16π/3

16.75516 ——————> 16.8 km

Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?

Answers

Answer:

17 nickels

8 dimes

Step-by-step explanation:

n + d = 25

.05n + .10d = 1.65

use substitution:  n = 25-d

.05(25-d) + .10d = 1.65

1.25 - .05d + .10d = 1.65

.05d = .40

d = 8    ∴ n = 17

free 20 points. just answer this question please XD.
what is m<5 if m<2 is 45 degrees and m<3 is 60 degrees?

Answers

Answer:

Ty for the points.

m<5 is 90 degrees.

Answer:

90

Step-by-step explanation:

Does anyone know the answer ? :(

Answers

Answer:

If it a khan you can go take a hint and try to find it

Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.

a) How often do the tours leave at the same time?


b) When is the next time the two tours will leave at
the same time?

Answers

Answer:

Step-by-step explanation:

if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.

NC

08:45                     08:50

09:00                     09:10

09:15                      09:30

09:30                     09:50          

09:45                     10:10  

10:00                      10:30    

10:15                       10:50    

10:30                       11:10  

10:45                        

11:00                    

Both tours leave at 9:30, and then away at 10:30.

They leave at the same time every hour.

Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi

Answers

Answer:

The rule for the translations can be written as T -3,1(x,y).

The rule for translations can be written as (x,y)➡️(x-3,y+1).

Step-by-step explanation:

Answer:

A, and D

Step-by-step explanation:

Took Unit test edge 2022

Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?

Answers

The price of 1 raffle ticket is $12

because

[tex]36 \div 3 = 12[/tex]

What is 5/6 of 1/2 on a number line

Answers

Answer:

5/12

Step-by-step explanation:

5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.

pick the correct inequality

Answers

Answer:

d

Step-by-step explanation:

the answer is d because it's a closed circle

A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm

Answers

You would have to figure out the rectangles perimeter then divide

HELP!! What do I do ?

Answers

Omg rlly I can’t help you

-9,7 with a rotation of 180°

Answers

Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.

find the total surface area of the following cone. leave your answer in terms of pi.

Answers

Answer:

90pi

Step-by-step explanation:

SA = pi r l +B

we know the radius is 5

We need to find the slant height using the Pythagorean theorem

a^2+b^2 = c^2

5^2+12^2 = l^2

25+144= l^2

169 = l^2

Taking the square root of each side

sqrt(169) = sqrt(l^2)

13 = l

B is the area of the base

B = pi r^2 = pi (5)^2 = 25 pi

SA = pi r l +B  = pi (5)*13 + 25pi

                       =65pi +25pi = 90pi

Answer:

90 pi

Step-by-step explanation:

Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer

SA= 90

Look at the pic smart people

Answers

Answer is 8/10..............

Okay here we go.

They're in different denominators, so we convert 1/5 to 2/10 by multiplying both numerator and denominator by 2.

1 x 2= 2

5 x 2= 10  

So now that 1/5 is equivalent is 2/10, we just add.

2/10 + 6/10= ?

For adding fractions, only add the numerators.

2+6=8 --> 8/10

2/10 + 6/10= 8/10

And so there you go.

1/5 + 6/10= 8/10

Hope this helps!

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

c. 952.4 in²

Step-by-step explanation:

The figure can be decomposed into a square, a trapezoid and a semicircle

Find the area of each to determine the area of the figure.

✔️Area of square = s²

s = 13 in

Area of square = 13² = 169 in²

✔️Area of trapezoid = ½(a + b)h

a = 13 in

b = 30 in

h = 20 in

Area of trapezoid = ½(13 + 30)20

= 430 in²

✔️Area of semicircle = ½(πr²)

r = ½(30) = 15 in

Area = ½(π*15²)

Area ≈ 353.4 in²

✅Area of the figure = 169 + 430 + 353.4

= 952.4 in²

Please take a look at the picture. :)

Answers

Answer:

3÷1/6

Step-by-step explanation:

here is your answer. If it helps don't forget to like and Mark me

The diameter, D, of a sphere is 18.2 mm. Calculate the sphere's volume, V.
Use the value 3.14 for x, and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

Just put the values into the formula

Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?

Answers

4 feet

Because 16/4 is 4

A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ​ ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?

Answers

Answer:

the mean is 40 degrees celcius

standar deviaton is 1.11 degrees Celsius

Step-by-step explanation

khan academy

The temperature values of the participants in celcius are :

Mean = 40°CStandard deviation = - 16.67°C

Information about body temperature :

Mean = 104°F

Standard deviation = 2°F

To convert to Celsius temperature :

°C = 5/9(°F - 32)

To temperature values in °C :

Mean temperature :

°C = 5/9(104 - 32)

°C = 40°C

Standard deviation of temperature :

°C = 5/9(2 - 32)

°C = - 16.67°C

Hence, the temperature values in Celcius are : 40°C and - 16.67°C

Learn more : https://brainly.com/question/18112348

A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?​

Answers

Draw the picture; you have a right triangle. The guy wire is the hypotenuse
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft

Find the value of x (only answer if you're sure)

Answers

Answer:

x = 5.4

Step-by-step explanation:

Ratios:

[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]

1) rotation 180° about the origin

Answers

Answer:

Q (0,1) H (3,5) J (5,3)

Step-by-step explanation:

Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.

(x,y) becomes (-x,-y).

So, (0, -1) becomes (0,1).

(-3,-5) becomes (3,5).

And, (-5, -3) becomes (5,3).

Answer: Here you go, hope this helps.

Step-by-step explanation:

Referring to the figure, find the value of x

Answers

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

Answer:

21.6

Step-by-step explanation:

5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)

5x=108

x=21.6

Find the volume of the cone plsss help

Answers

the volume is 56.52in^3

Answer:

the volume of the cone is about 56.52

Step-by-step explanation:

the formula for the volume of the cone is πr^2(h/3), so if you plug in the numbers, you'll get about 56.52

Find the general term of series 1/2-1+2-4+

Answers

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.

Help help help please help help helpp

Answers

Answer:

(4⋅2x)+(-2+4)=

8x+2

2⋅3(1a+1a)=

6a+6b

I hope these are okay, and what you were asking for. I hope this helped! +*♡

Find the equation of the line shown. Enter yoir answwr in slope intercept form​

Answers

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

What is the determinant of A=

Answers

Step-by-step explanation:

the determinant of A is A

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