HELP PLEASE
Write each number as a logarthm with base 3.
0
1
-2
4

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Let the number is x in each case.

Use the property below:

logₐc = b ⇒ aᵇ = c or vice versa

We have:

[tex]log_3x = 0 -->x = 3^0=1 -->log_31=0[/tex][tex]log_3x = 1 -->x = 3^1=3 -->log_33=1[/tex][tex]log_3x = -2 -->x = 3^{-2}=1/9 -->log_3(1/9)=-2[/tex][tex]log_3x = 4 -->x = 3^4=81 -->log_381=4[/tex]
Answer 2

Answer:

[tex]\log_31=0[/tex]

[tex]\log_33=1[/tex]

[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]

[tex]\log_{3}81=4[/tex]

Step-by-step explanation:

[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]

Therefore:

[tex]\log_3x=0 \implies x=3^0=1[/tex]

[tex]\log_3x=1 \implies x=3^1=3[/tex]

[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]

[tex]\log_3x=4 \implies x=3^4=81[/tex]

Additionally, the logarithm of 1 with any base is always zero:

[tex]\log_a1=0[/tex]

The logarithm of the same number as the base is always 1:

[tex]\log_aa=1[/tex]


Related Questions

8/7 divided by 5/2?

Answers

Answer:

16/35

Step-by-step explanation:

(8/7)/(5/2)

8/7 * 2/5

16/35

is -4/5 or is-8/9 bigger

Answers

Answer:

-4/5 will be bigger.

Step-by-step explanation:

This is true as -4/5 is equal to -.8 compared to -.888888888.

A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?

Answers

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

The Budget Car Rental rates for renting a car for a day is shown in the table.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to given information,

a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0

that is :

blank - 1 : $ 100

b.) rate of change = slope

[tex] \dfrac{y2 - y1}{x2 - x1} [/tex]

[tex] \dfrac{105 - 100}{100 - 0} [/tex]

[tex] \dfrac{5}{100} [/tex]

[tex] \dfrac{1}{20} [/tex]

blank - 2 : [tex]\dfrac{1}{20}[/tex]

c.) Let's

[tex]y = mx + c[/tex]

and according to above data :

y = C

x = d

m = 1/20

c = 100

so, the required equation is :

[tex]c = \dfrac{1}{20} d + 100[/tex]

put this equation in blank - 3 ~

2.675 in expanded form
54.906 in expanded form
Plz answer stat!​

Answers

2.675 = 2.000 + 0.600 + 0.075 + 0.005

54.906 = 50.000 + 4.000 + 0.900 + 0.006

if Brian is driving 50 miles per hour how far did he drive​

Answers

Answer:

2.5 km long after 59 miles

Answer:

50 miles

Step-by-step explanation:

Given, OA = OV, what congruency statements can
you make? Check all that apply.
BC = ZY
BE = 2x
CB = Y Z
OZDAB = ZZVX
DE = WX
O BE =ZX

Answers

Answer: Look at Explanation

Step-by-step explanation:

Your Welcome <3

hi so what 2+2 it is 4 right ...............................

Answers

Answer:

yessssssss have a nice day

answer po plss plss plsss

Answers

Answer:

 16. 1.56

17. 0.8625

18.0.04

Step-by-step explanation:

Employees from a local store
donated picnic supplies for the end of the
school year picnic. They donated 20 packs
of 12 forks. 10 packs of 12 spoons, 5 packs of
10 knives, and 175 paper plates. How many
picnic items were donated?

Answers

Forks :
20 x 12 = 240

Spoons:
10 x 12 = 120

Knives :
5 x 10 = 50

Paper plates :
175

Total :
175 + 50 + 120 + 240 = 585

585 picnic items were donated


Why might you write the equation in
point-slope form instead of slope-intercept
form?

Answers

Step-by-step explanation:

Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.

I hope this will help you out!

The equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

We need to check why might we write the equation in point-slope form instead of slope-intercept form.

What is point-slope form?

Point slope form is used to represent a straight line using its slope and a point on the line. That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form. Different forms can be used to express the equation of a straight line. One of them is point slope form. The equation of the point slope form is: y - y1 = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.

We use point-slope form with one coordinate and slope.

Therefore, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

To learn more about the point slope form visit:

https://brainly.com/question/24436844.

#SPJ5

4×8 is it positive or negative

Answers

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

the ratio of x and 5 minus 12
(turn this into a problem)

Answers

then is it.........!!!?

5x-12

Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of
lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold,
X.
Do not include dollar signs in the equation.
y =

Answers

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)

solve for X : 3x²=5x​

Answers

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

Find the value of X and Y​

Answers

Answer:

x = 20 , y =43

Step-by-step explanation:

1- 7x-3 + 3x-17 = 180

10x = 200, x = 20

Y = 3x-17  x is 20 so Y=60-17=43

There are 47 maple trees currently in the park. Park workers will plant more maple trees today
When the workers are finished there will be 54 maple trees in the park. How many maple tree
did the workers plant today?

Answers

Answer:

7

Step-by-step explanation:

A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?

2x + 3y = –6
2x + 3y = 6
y equals negative StartFraction 2 Over 3 EndFraction x minus 2.
y equals StartFraction 2 Over 3 EndFraction x minus 2.

Answers

Answer:

2x+3y=-6

Step-by-step explanation:

the intercepts are (-3,0) (x intercept) and (0,-2) (y intercept)

this means that when x = 0, y = -2 and when y = 0, x = -3.

the last two are not in standard form, so we can eliminate those.

the answer also cannot be the second one because both intercepts are negative. when we solve it, the intercepts would be (3,0) and (0,2). the answer must be 2x+3y=-6.

sorry for the late reply!

Answer:

I believe its A. 2x+3y=-6

Step-by-step explanation:

Solve) A = 1/2 h ( a + b ), solve for h

Answers

Step-by-step explanation:

A=½h(a+b)

h(a+b)=2A

h=2A/(a+b).

hope this helps you.

I need help! Please tell me

Answers

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

y = 2x + 6
&
y = -1/4 x -3

find 3 values of x and y that satisfy the equation y = 3x - 2

Answers

Answer:

x = 1, y = 1

x = -2, y = -8

x = 3, y = 7

Step-by-step explanation:

Can someone please help me w/ this I need to plot the points on the graph (picture provied) then the answer is where ever the points met on the graph. ( please draw a line were they met u can screen shot the photo)
THE ANSWER IS SUPOSE TO LOOK LIKE THIS ( ___,___) IXL cc.2 8th grade

Answers

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

¿Qué es un dato en estadística?

Answers

Answer:

Los datos son piezas individuales de información fáctica registradas y utilizadas con fines de análisis. Es la información en bruto a partir de la cual se crean las estadísticas. Las estadísticas son el resultado del análisis de datos: su interpretación y presentación. ... A menudo, estos tipos de estadísticas se denominan "datos estadísticos".

Step-by-step explanation:

Answer:

Un dato estadístico es cada uno de los valores que se ha obtenido al realizar un estudio estadístico

Step-by-step explanation:

Consider the function F(x)=5x-1. Find the value of x for which the value of the function is equal to 89

Answers

Answer:

Sorry if im late

Step-by-step explanation:

The correct statements are:

The value of f(-10) = 82

The graph of the function is a parabola

The graph contains the point (20,-8)

Answer:

x=18

Step-by-step explanation:

89=5x-1

89+1=5x

90=5x

18=x

which square has more white space one big circle or small many circle explain

Answers

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Find the values of x and y.
т
>
75°
45
(6x + 3)

Answers

Answer:

X=12°

y=60°

Step-by-step explanation:

75=6x+3

x=12°

y=180-(45+75)

y=60°

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

What is the complete factored form of f(x)=x3+5x2+4x−6?

A: f(x)=(x+3) (x-(-1+√3)) (x-(-1-√3))
B: f(x)=(x−3)(x−(−1+i√3)) (x−(−1−i√3))
C: f(x)=(x+3)(x−(−1+i√3)) (x−(−1−i√3))
D: f(x)=(x−3)(x−(−1+√3)) (x−(−1−√3))

Please answer as soon as possible!

Answers

Answer:

The answer is A

Step-by-step explanation:

I just took the test

Abboy has 800, he spend 160. What fraction of his original money does he have left

Answers

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

The graph below could be the graph of which exponential function

Answers

Answer:

A

Step-by-step explanation:

The graph below could be the graph of A) F(x) = 2*[tex](0.7)^x[/tex] exponential function.

The graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is a decreasing exponential function. This is because the base of the exponent, 0.7, is between 0 and 1. As x increases, the value of [tex](0.7)^x[/tex] decreases, so the value of F(x) decreases.

The graphs of the other functions are all increasing exponential functions. This is because the bases of the exponents, 2, 5, and 1.4, are all greater than 1. As x increases, the value of [tex]2^x[/tex], [tex]5^x[/tex], and [tex]1.4^x[/tex] increases, so the value of the functions F(x) = 2 * [tex]2^x[/tex], F(x) = 2 * [tex]5^x[/tex], and F(x) = 2 * [tex]1.4^x[/tex] increases.

Therefore, the graph of the function F(x) = 2 * [tex](0.7)^x[/tex] is the only graph that is decreasing. So the answer is A.

Here is a table that summarizes the properties of the graphs of the four functions:

Function Base of the exponent Graph

F(x) = 2 * [tex](0.7)^x[/tex] 0.7 (between 0 and 1) Decreasing

F(x) = [tex]2^x[/tex] 2 (greater than 1) Increasing

F(x) = 2 * [tex]5^x[/tex] 5 (greater than 1) Increasing

F(x) = 2 * [tex]1.4^x[/tex]  1.4 (greater than 1) Increasing

To learn more about graph here:

https://brainly.com/question/17267403

#SPJ2

Other Questions
Ibigay ang hinahanap na kapares na salita upang mabuo ang tambalang salitang tinutukoy ng kahulugan. 1. Hampas______ Kahulugan: Walang bahay2. Basag_______ Kahulugan: Pisikal na away3. Hanap_______ Kahulugan: Trabaho4. Kapit________ Kahulugan: Katabing tirahan5. Dilang_______ Kahulugan: Magkatotoo ang sinabi Jonathan wants to separate stones, insects and other unwanted materials in his mixture of grains and corn. What technique of separating mixture is appropriate A. WinnowingB. physical manipulation C. FilteringD. Magnetism Convert 0.04 HL to L. What are the potential consequences of using the Feudal system in Europe during the period 1200 - 1450 C. E.? What type of diffusion is aided with a transport protein?a. Osmosisb. Permeated diffusionc. Facilitated diffusiond. Osmotic diffusionWhich of the following is NOT a type of transport protein? What protection or freedom not included in the Bill of Rights do you think should be added to it? Explain your choice. A box collides with a ball as shown in the diagram below. After the collision, whatwill the final momentum of the ball be?BEFORE COLLISIONAFTER COLLISION15 kgm/s3 kgm/s5 kgm/s_kgm/sO 18 kg * m/sO 5 kg * m/sO 10 kg * m/sO 13 kg * m/s what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)? Which sentence describes a factor that motivated American colonists todeclare their independence from the British? Type the correct answer in the box.Points A, B, C, and D represent the four corners of a parade route. Each unit on the coordinate plane is equal to 1 kilometer.Johns float goes from point A to B, then to C, then to D, and back to A. If he repeats this route twice, the total distance that his float travels is kilometers.Reset Next Please Help MeThe ratio of the number of combinations (2n+2) of different objects taken n at a time to the number of combinations of (2n-2) of different objects taken n at a time is 99:7. Find the value of n. The purchase price of a camcorder is $648. What is the total price if the sales tax rate is 6.5%? PLEASE ANSWER FOR 20 PTS Find the simple interest.Principal$160Rate5.5%Time4 yearsThe simple interest is (Simplify your answer.) How do cells respond to signaling? some one plz help will make brailist if right in the article, which technologies have been developed to enhance space exploration? choose all that apply 1. Use the correct tense1. We (to live) in a sunny country.2. They (to solve) an important problem last week.3. What you (to do) now? I (to look) for my book.4. This book (to be write) 5 years ago.5. This letter (to be write) just now.6. Our friend (to speak) two foreign languages.7. A new directory (to be print) from 2 to 4 p.m. yesterday.8. Jack (to build) a house by June.9. You (to understand) a rule yesterday?10. This rule (to be explain) by our teacher. 2. Make up 5 types of questionsKate speaks Italian fluently. please help i need help As the historian, how do you assess the credibility of the two accounts?