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

Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2

Answers

Answer:

7 + 9x

Step-by-step explanation:

add 5 and 2 and 9x doesn't have a like term so it stays the same

Answer:

9x + 7

Step-by-step explanation:

Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.

b. If this branch of the military changes the height requirements so that all women are eligible except the shortest​ 1% and the tallest​ 2%, what are the new height​ requirements?

Answers

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

znznzmzspmzlsldfpcf

Please help thank you

Answers

Answer:

1/144

Step-by-step explanation:

You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

c

Step-by-step explanation:

y = mx + b

”m” is the slope, so the slope is -2

”b” is the y - intercept, so the y - intercept is (0 , 1)

What Is It HomeWork*.

Answers

Answer:

sumthing that we hate doing

Step-by-step explanation:ughhhhhhhhhh

The inequalities is 6 is greater than or equal to 6

PLASE ANSWER THIS!! MARKING BRAINLEIST

Answers

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend

Answers

answer:

Juanita spent 1 1/2 times as much as Jared, how much did she spend?

$63

explanation:

one and a half of 42 is: 63

so,

the answer is Juanita spent $63!

Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.

What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

How are mixed fractions written?

Follow these procedures to convert an incorrect fraction to a mixed number:

Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.

Given: Jared spent $42 on a cell phone.

We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.

So,

42(3/2) = $63

Therefore, Juanita spent $63 which is  3/2 amount spent by Jared in buying the cell phone.

Learn more about mixed fraction here:

https://brainly.com/question/414559

#SPJ2

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!

Answers

Answer:

124.35 X 6.75

Step-by-step explanation:

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.

The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

learn more about percentage here :

brainly.com/question/24159063

#SPJ5

Find the standard deviation of the following data. Round your answer to one decimal place. x 00 11 22 33 44 55 P(X

Answers

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?

Answers

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?

Answers

Answer:

392984

Step-by-step explanation:

A large hamburger (e.g., Whopper®) sandwich contains 628 kcal and 36 grams of fat. Approximately what percentage of the total energy is contributed by fat?

Answers

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

Jkjjujzjzjdjfjfjjfd find f f f v. G f ddbdjfksid difícil de djkdkdid dijfndndidi diske

Answers

;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-;

......................;-;

4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP

Answers

Answer:

53.32114

Step-by-step explanation:

I WILL BRAINLIST ITS ONLY ONE PROBLEM !!!!!!!!!!!!!!!

Answers

Answer:

11/200

Step-by-step explanation:

This is the correct answer boo

11/200 is the answer lol

fplzz ans my question
factorize p^4+4​

Answers

Answer:

Step-by-step explanation:

(p²)²+2²

(p²+2)²-2p²2

(p²+2)²-4p²

(p²+2)²-(2p)²

(p²+2-2p)(p²+2+2p)

helpp meeee will award brainliest

Answers

What’s the question?

A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?

Answers

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)

Answers

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

2. I mark as brainliest ​

Answers

Answer:

3.55 miles

Step-by-step explanation:

You add the mileage of the two trails which is 1.75+1.8=3.55 miles

Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

9514 1404 393

Answer:

  y = 2x - 4

Step-by-step explanation:

You want an equation with an x-coefficient that is not 1/2.

  2/4 = 0.5 = 1/2

so, the first three answer choices don't meet problem requirements.

The line with equation ...

  y = 2x -4

is not parallel to y = 1/2x -6.

The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?

Answers

9514 1404 393

Answer:

7 TV ads4 radio ads

Step-by-step explanation:

The audience per dollar is ...

  Newspaper: 1000/$200 = 5/$

  Radio: 800/$100 = 8/$

  TV: 14000/$800 = 17.5/$

So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...

  (7 ads)($800/ad) = $5600

With $5600 spent on TV ads, the remaining advertising budget is ...

  $6000 -5600 = $400

The next most cost-effective medium is radio. The remaining $400 budget allows for ...

  $400/($100/ad) = 4 ads

__

To maximize exposure, the advertising budget should be spent this way:

TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200

15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate​

Answers

Answer:

If 10 men dig a ditch in 12 days .

Total man-days required to dig the ditch

= 10 men × 12 days

= 120 man-days

how long would 15 men take to dig it?

No of days required to finish the job by 15 men

= 120 men-days / 15 men

= 8 days

Answer: 8 days will be required to finish the job by 15 men

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

An airplane maintaining a constant airspeed takes as long to travel 925 mi with wind as it does to travel 775 mi against the wind. If the wind is blowing at 15 mph, what is the rate of the plane in still air

Answers

9514 1404 393

Answer:

  170 mph

Step-by-step explanation:

The speed of the airplane can be represented by s. The travel time will be ...

  time = distance/speed

  925/(s +15) = 775/(s -15)

  925(s -15) = 775(s +15)

  150s = 25500 . . . . . . . . . add 13875-775s

  s = 170

The rate of the plane in still air is 170 mph.

More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two

Answers

Answer:

21

Step-by-step explanation:

PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.

Answers

800= 1.5x +y
X is boys
And y are girls

Does anyone know this answer !!!!!!

Answers

Answer:

13

Step-by-step explanation:

5x + 25 = 7x - 1

-7x. -7x

-2x + 25 = -1

-25. -25

-2x = -26

-2. -2

x = 13

Define the following terms:

Answers

Mass - Something that measures the amount of matter in a substance or an object.
Volume - The quantity of three-dimensional space enclosed by a closed surface.
Melting point - The temperature at which a given solid will melt. (32°F)
Boiling point - The temperature at which a liquid boils and turns to vapor. (212°F)
Density - The degree of compactness of a substance.
Conductivity - The degree to which a specified material conducts electricity.
Solubility - The ability of a solid, liquid, or gaseous chemical substance to dissolve in a solvent (a solvent is a liquid.)
Magnetism - A physical phenomenon produced by the motion of electric charge.

does the surface in contact with ground affect the going motion of the car ?why?​

Answers

Answer:

Yes, it does. The ground is bumpy and it creates friction acting against the car's motion.

(you can include my example too depending on what your teacher is looking for)

Step-by-step explanation:

This is a fun one! Think about a ball rolling on a smooth surface, now on a bumpy sandpapery one. Which one do you think is faster? The smooth surface! This is because of this friction of the sandpaper which slows down the ball. On the other hand, the smooth one has very little friction. The same applies to cars.

please help!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

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