if loga81=4, find value of a?​

Answers

Answer 1

Answer:

[tex]\huge\boxed{a=4}[/tex]

Step-by-step explanation:

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]


Related Questions

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm.
What is its surface area?
Show your reasoning.
I got 48 cm2

Answers

Answer:

i got 48

Step-by-step explanation:

2(5*2)

2(2*5)

2(2*2)

where does 17 lie between

Answers

Between 16 and 18. Hope this helps

rx:
x – 6 = -3x + 22

Answers

Answer:

X= 7

Step-by-step explanation:

X + 3x = 22 + 6
4x = 28
X = 7

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

2,76,212+2628 = ______ +2,76,212​

Answers

Answer:

555052

Step-by-step explanation:

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Pls help I don’t know how to do this.

Answers

Answer:

If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27

write model expression to show how much longer the round-trip to san diego is than the round trip to san jose. how many term does the expression have

Answers

Answer:

Product of 6 and a number. y÷9.

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

4/15 ÷ 10/13 pls help me​

Answers

Answer: 26/75

(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)

= (4/15) · (13/10) (Cancel out the common factor of 2)

= (2/15) · (13/5) (Multiply the numerators together and denominators together)

= 26/75

Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.  It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.  It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

is 0.03 greater than 0.5

Answers

Answer:

no

Step-by-step explanation:

A circle has a diameter of 18 inches. If 1 inch is approximately 2.54 centimeters, what is the diameter in centimeters?
A) 5.9 centimeters
B) 45.7 centimeters
C) 20.5 centimeters
D) 42.3 centimeters

Answers

Option b 45.7 is the answer

Write an equation to find the nth term of each sequence.
7, 13, 19, 25....

Answers

Answer:

6n+1

Step-by-step explanation:

n=term#

please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

15,614+?=68,025
What is the total

Answers

Answer:

52411 that's the answer

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War

Answers

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

-9|-x+5|=0
Solve for x.

Answers

Answer:

x=5

Step-by-step explanation:

-9|-x+5|=0

Divide by -9

|-x+5|=0

The are normally two solutions, one positive and one negative, but +0=-0=0

-x+5 =0

Add x to each side

-x+5+x =0+x

5 =x

please help!!!!!!!!!!!!! will give brainliest.

Answers

Answer:

x<9 and x>1/13

1/13<x<9

Step-by-step explanation:

First, let's find the value of x in the first equation:

6((x-1)/2-(x-3)/3)<2*6

(3x-3)-(2x-6)<12

3x-3-2x+6<12

x+3<12

x<9

Now, let's find the value of x in the second equation:

13x-1>0

13x>1

x>1/13

Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.

Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours

Answers

Answer:

17

Step-by-step explanation:

3 1/2+3 1/2=5 which is 40 min

5=40mins

5+3 1/2=81/2

1 hour=8 1/12

8 1/2+8 1/2= 17

17 in two hours

A light bulb consumes 3450 watt-hours-in 5 days and 18 hours. How many watt-hours does it consume per day

Answers

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours

600watt hours <–––––––

Answer:

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours  

600watt hours

escribe el número igaul a 5 decenas y 13 unidades​

Answers

Answer:

63

Step-by-step explanation:

Please help, I’ve been stuck

Answers

I think the answer is B
I am not sure but I think it’s B

the sum of two the digits of two number digits is 11 if 45 os subtracted from the number the digits number will be reversed find the number​

Answers

Answer:

11 and 45=34

Step-by-step explanation:

dsnsnafsysjsbdfysjqbscs hi sweets

I will mark who ever right brainliest

Answers

Answer: answer is 155

Step-by-step explanation:

the answer is 2) $155

d(t) = 50t
The variable t represents?

Answers

Answer:

Time

Step-by-step explanation:

d(t) basically means "distance of time"

Follow the steps to find the value of x
1.Addition property of equality.
1/5(x)-2/3=4/3
1/5(x)-2/3+2/3=4/3+2/3
2.Multiplicative property if equality.
1/5(x)5/1=6/3(5/1)
The solution is x=

Answers

Then you get 1/5x = 2
X= 10

Answer:

its 10

Step-by-step explanation:

I got it right

13=b 5=c what is the length of the missing leg

Answers

Answer:

The length of the missing leg is 12

Step-by-step explanation:

Right Triangles

A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.

Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:

[tex]a^2+c^2=b^2[/tex]

We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:

[tex]a^2=b^2-c^2[/tex]

Substituting:

[tex]a^2=13^2-5^2[/tex]

[tex]a^2=169-25=144[/tex]

Solving:

[tex]a=\sqrt{144}=12[/tex]

The length of the missing leg is 12

What is 6cm into inches

Answers

Answer:

2.3622

Step-by-step explanation:

Other Questions
How many grams of MgSO4 should Naomi weigh out to prepare 0.250 L of a 1.25 M solution? (1) We hold these Truths to be self-evident, that all Men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty, and the pursuit of Happiness. (2) That to secure these rights, governments are instituted among Men, deriving their just Powers from the Consent of the Governed. (3) That whenever any Form of Government becomes destructive of these Ends, it is the Right of the People to alter or abolish it, and to institute a new Government.the Declaration of Independence, 1776What concept is best described by the third sentence? A. right of revolution B. republicanism C. separation of powers D. popular participation What overall challenges did immigrants to the U.S. face? Line s has a slope of -7/2 line t is perpendicular to a. What is slope of line t Which of these is NOT characteristic of Roman sculpture? (2 points) aRealism bPowerful women cMajestic presentation dInner emotion Which of the following statements describes the value of the expression 35 2x, when x = 6? Based on calculations, students should have 10.4 grams of powder after conducting an experiment. The students get these results: 10.2 grams, 10.4 grams, 10.3 grams, 10.4 grams, and 10.5 grams.Which words best describe this data?accurate and precisefalsified and inaccurateinvalid and redundantredundant and falsified convet one solar day into second Which of the following government officials is on the National Security Council?Chief Justice of the Supreme CourtSenate minority leaderCongressional whipthe CIA director One number is six times as large as a certain smaller number. Let x represent the smaller number.Write the number that is 20 more than the smaller number. What is your carbon footprint?A: the amount of carbon dioxide you use when recyclingB: the amount of oxygen put into the atmosphere due to your consumption of fossil fuelsC: the amount of carbon dioxide and oxygen in the atmosphere at any given timeD: the amount of carbon dioxide put into the atmosphere due to your consumption of fossil fuels Which equation has the solution x = 9?Select each correct answer.+7= 84+ 5x = 1881 3 = 62x 3 = 1524 2x = 133x + 2 = 25 Which of the following statements correctly relates mutations and survival rates of animals? Mutations sometimes improve the chances of survival for an animal. Mutations always improve the chances of survival for an animal. There is no relationship between mutations and the chance of survival for an animal. Mutations never improve the chances of survival for an animal. Which statement is most correct about self-esteem? A. Self-esteem is set by the teen years. B. Self-esteem is set at birth. C. Self-esteem begins at birth and continues to change throughout life. D. Self-esteem begins to develop in the teen years and ends by early adulthood. does the surface in contact with ground affect the going motion of the car ?why? Which expression converts 100 inches per minute to feet per minute?StartFraction 100 inches Over 1 minute EndFraction StartFraction 60 minutes Over 1 hour EndFractionStartFraction 100 inches Over 1 minute EndFraction StartFraction 1 hour Over 60 minutes EndFraction100 inches Over 1 minute times StartFraction 1 foot Over 12 inches EndFraction100 inches Over 1 minute times StartFraction 12 inches Over 1 foot EndFraction can you tell me the answer The Wod Chemical Company produces a chemical compound that is used as a lawn fertilizer. The compound can be produced at a rate of 10,000 pounds per day. Annual demand for the compound is 0.6 million pounds per year. The fixed cost of setting up for a production run of the chemical is $1,500, and the variable cost of production is $3.50 per pound. The company uses an interest rate of 22 percent to account for the cost of capital, and the costs of storage and handling of the chemical amount to 12 percent of the value. Assume that there are 250 working days in a year.A. What is the optimal size of the production run for this particular compound? B. What proportion of each production cycle consists of uptime and what proportion consists of downtime? C. What is the average annual cost of holding and setup attributed to this item? If the compound sells for $3.90 per pound, what is the annual profit the company is realizing from this item? What was John's speed if he traveled 60 km in 30 minutes? 1A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings ofpudding?