What is the inverse of the logarithmic function

f(x) = log gX

Answers

Answer 1

Answer:

An exponential function. [tex]f(y) = g^{y}[/tex]

Step-by-step explanation:

The inverse of the logarithmic function is an exponential function.

[tex]f(x) = \log_{g} x[/tex]

[tex]g^{f(x)} = x[/tex]

[tex]g^{y} = f(y)[/tex]

[tex]f(y) = g^{y}[/tex]


Related Questions

In a recent election Corrine Brown received 13 comma 482 more votes than Bill Randall. If the total number of votes was 120 comma 306​, find the number of votes for each candidate.
Corrine Brown received
how many votes?

Answers

Answer:

53,412 and 66,894

Step-by-step explanation:

In this question we have to assume the things

Let us assume

Bill randall be X

So, the Corrine Brown is X + 13,482  as the corrine brown received 13,482 more votes than the Bill Randall

And, the total number of votes is 120,306

Now the equation is

X + X + 13,482 = 120,306

2X + 13,482 = 120,306

2X = 106824

X = 53,412 i.e Bill randall

And, the corrine brown is

= 13,482 + 53,412

= 66,894

Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60 in the second hour, then another $72 in the third hour. If this pattern continues, what is the total amount of money he will raise if he stays for the entire competition?

Answers

Answer:

$786

Step-by-step explanation:

50, 60, 72

find the difference between the first and second hour earnings to get 10.

get the difference of the second and third to get 12.

we realize that they are in increasing with even numbers from 10 going further, ie, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc

to get the total earnings for the 24 hrs, you have to keep on adding the next even number till you reach the 24th hour

you will get $786.


There are 1300 students in a school. 48% of them are female. How many are male?

Answers

Answer:

676

Step-by-step explanation:

First find what 48 percent of 1300 is

1300*0.48=624

Then subtract the number of females from the total number of students.

1300 student -624 females=676 males.

Hope that's clear :)

Answer:

[tex]676[/tex]

Step-by-step explanation:

48 % of students are female. so first we have to fine the percentage of male.

[tex]48\% = female \\ 100\% - 48\% = 52\% \\ 52\% = male[/tex]

Now lets fine how many male students are there.

[tex]1300 \times \frac{52}{100} = 676[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day !!

Each homeroom must send two student representatives to each student council meeting. Mrs. Lincoln has 15 girls and 10 boys in her homeroom. If she randomly selects two students to attend the next meeting, find the probability of her choosing one girl and one boy?

Answers

Answer:

1/4

Step-by-step explanation:

Mrs. Lincoln has 15 girls and 10 boys in her homeroom. She randomly selects two students. The total number of students is 25.

The probability of choosing one girl is:

15 / 25 = 3 / 5

Now, 24 students are left.

The probability of choosing one boy is:

10 / 24 = 5 / 12

Therefore, the probability of choosing one girl and one boy is:

3 / 5 * 5 / 12

= 3 / 12

= 1/4

Do these side lengths make a right triangle? 6, 8, 9

Please I need help with this

Answers

Answer:

No

Step-by-step explanation:

they do not make a pythagorean triple. you can test with the pythagorean theorem

Answer:

Nah it doesn't 6 8 10 would though

what’s the area of the trapezoid

Answers

Answer:

1/2(15)(50 + 30)

1/2(15)(80)

1/2(1200)

600m²

Step-by-step explanation:

Work out 8 x
(3 + 7)​

Answers

Answer:

Answer is 80

Step-by-step explanation:

PEMDAS (Parentheses - Exponents - Multiplication - Division - Addition - Subtraction)

Do (3+7) first which equals 10.

Your equation is then simply 8 x 10 which is 80.

Answer:72

Step-by-step explanation:

8 × (3+7) can be written as 8 (3+7)

Now,simplify

8 (3+7)

8 (10)

8×10

80 is the answer.

Find ONLY letter a: Lower Quartile
50 POINTS + BRAINLIEST

Answers

The lower quartile is 20. It's at the left edge of the box.

Solving similar triangles can someone please answer help

Answers

Answer:

k=3

Step-by-step explanation:

Since we know for a fact, thanks to it being given in your question, that the triangles are similar, that means the lengths are proportionate.

Secondly, you should notice a trend between both shapes. ΔPQRs sides are half of ΔDEFs.

With that in mind, we can conclude that for side K, it's half of 6, so 3! :D

Answer part B (as part A is 75)

Answers

Answer:

because there is 180 degrees in a line. if 105 degrees is taken away from the line. then (180 - 105) is 75 degrees.

Tell me what the slope and y intercept means to you

Answers

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis)

The lines below are perpendicular. If the slope of the green line is 3/2
what is
the slope of the red line? will give brainliest for correct answer ​

Answers

The slope of the red line is the "negative reciprocal" of the slope of the green line. So, it is -2/3

help me me pl i do not under stand

Answers

Answer:

1/3 plus 5\6 si equal to 7\6

Step-by-step explanation:

1\3 X 2 is equal to 2\6 add it to 5\6 it will equal 7\6

Answer:

the correct answer is 2/6+5/6=7/6.

Step-by-step explanation:

hope this helps!

A cube has a side length of inch. It would take blocks with a side length of inch to fill the cube. It would take blocks with a side length of inch to fill the cube.

Answers

Complete question:

A cube has a side length of 1/3 inch.It would take _ blocks with a side length of 1/6 inch to fill the cube.

B)It would take _ blocks with a side length of 1/9 inch to fill the cube.

Answer:

a) 8 blocks

b) 27 blocks

Step-by-step explanation:

Here we need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = [tex] \frac{1}{3}[/tex]

Therefore,

V =  [tex] (\frac{1}{3})^3[/tex]

V = = [tex] \frac{1}{27}[/tex]

Volume of the cube is [tex] \frac{1}{27}[/tex]

To find volume of the block, let's use the formula:

V = a³

V = [tex] (\frac{1}{6})^3[/tex]

V = [tex] \frac{1}{216} [/tex]

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= [tex]\frac{\frac{1}{27}}{\frac{1}{216}}[/tex]

[tex] = \frac{1}{27} * 216 [/tex]

= 8

It would take 8 blocks with a side length of 1/6 inch to fill the cube.

B) Here we also need to find the volume of the cube and volume of the block.

To find volume of the cube, let's use the formula :

V = a³

Here a = [tex] \frac{1}{3}[/tex]

Therefore,

V =  [tex] (\frac{1}{3})^3[/tex]

V = = [tex] \frac{1}{27}[/tex]

Volume of the cube is [tex] \frac{1}{27}[/tex]

To find volume of the block, let's use the formula:

V = a³

V = [tex](\frac{1}{9})^3[/tex]

V = [tex] \frac{1}{729} [/tex]

To find the number of blocks, let's divide the volume of block from the volume of cube.

Therefore,

= [tex] \frac{\frac{1}{27}}{\frac{1}{729}}[/tex]

[tex] = \frac{1}{27} * 729 [/tex]

= 27

It would take 27 blocks with a side length of 1/9 inch to fill the cube.

Mags is 2 years older than Vector. Which equation will
help you find Mags' age (m) if you know Vector's age (v)?
v = m + 2
m = V + 2
V-2=m

Answers

Answer:

m = v + 2

Step-by-step explanation:

Since Mags (m) is 2 years older than Vector (v)

You can use the equation V + 2 which is Vector's age + 2 years. Which would be equal to Mags' age.

What is the equation for the line of reflection? X=6 y=6 y=x y=2

Answers

Answer:

x=6y

Step-by-step explanation:

I think this is right, sorry if it is not

Can you please help me with this question i will give you a Brainiest and 12points

Answers

M = 3

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

Answer:

m = 3

Step-by-step explanation:

10m = 10-5(m-7)

10m = -(5m-5×7)+10

10m = -(5m-35)+10

10m = -5m + 35 + 10

10m = -5m +45

15m = 45

15m/15 = 45/15

m = 3^2*5/3*5

m = 3^2-1

m = 3

Najmo made $126 dollars 49 hours of work at the same rate how many hours would She have to work to make $168.

Answers

Answer:

126-49

168-

it will take more time so less under

so 168×126=21168

so 21168÷49=432

so 432 hours

Can you please help me with this question please is so hard and i will give you a Brainiest

Answers

Answer:

I don't know about you, but I would say the dog because it is the only relative object about the size and volume of the dog.

You can really do these yourself; there's no math here, just common sense.   A bicycle weights a lot more than a tomato, a pineapple or a pencil, so we go with the dog and answer

Answer: about 10 kilograms

A student is saving at least $5,000 for college. She begins with a savings account set up by her parents containing $2,000. Each month she deposits an additional $50 into the account. Fill in the first blank with the correct expressions that make the statement true.

(Attached is the statement and the choices)

This is the first box only!! Pls help!!! Giving 15-20 points!!!

Answers

Answer:

5000 ≥ 2000 + 50a

Step-by-step explanation:

She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.

Let

number of month = a

The information can be expressed as follows

5000 ≥ 2000 + 50a

The savings will continue increasing every months because she always deposit $50 every month.

Using the expression

5000 ≥ 2000 + 50a

minus 2000 from both sides

3000 ≥ 50a

divide both sides by 50

3000/50 ≥ a

60 ≥ a

This means she needs at least 60 months to meet her savings/target.

Find the area of this shape. The area of this shape is _______ square centimeters.

Answers

Answer:

Step-by-step explanation:

area =(4+4+4)/2×2+1/2×(4+4)×5.75

=12+23.00

=35 sq.cms.

Step-by-step explanation:

Area of triangle = [tex]\frac{1}{2}[/tex](b*h)

Area of rectangle = b*h

[tex]A(big-triangle) = \frac{1}{2} (5.75*4)[/tex]

[tex]A(big-triangle) = \frac{1}{2}(23)[/tex]

[tex]A(big-triangle) = 11.5[/tex]

Since there are two big triangles, then we can multiply 11.5 by 2.

11.5 * 2 = 23

[tex]A(small-triangle) = \frac{1}{2}(2*2)[/tex]

[tex]A(small-triangle) = \frac{1}{2} (4)[/tex]

[tex]A(small-triangle) = 2[/tex]

Since there are two small triangles, then we can multiply 2 by 2.

2 * 2 = 4

[tex]A(rectangle)= 4 * 2[/tex]

[tex]A(rectangle) = 8[/tex]

Now, we can add up all of the areas so we can find the total area of the entire shape.

23 + 4 + 8 = 35

So, the area of the entire shape is 35 square cm.

Please help, look at photo for question. (Math)

Answers

Answer:

f(-1) = 1

Step-by-step explanation:

f(x) = .5(1-x)

Let x = -1

f(-1) = .5(1- -1)

     .5( 1+1)

    .5(2)

     1

what is the arc length of a semicircle with a diameter of 8

Answers

Answer:

[tex] \frac{88}{7} units[/tex]

Step-by-step explanation:

Circumference of semi-circle=

[tex]\pi \: r[/tex]

[tex] \frac{22}{7} \times 4 \\ \frac{88}{7} [/tex]

Find the value of p if (3, 2) is a solution of px – 5y + p2 = 0.

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Substitute the x and y values in:

p^2 + 3p - 5(2) = 0

p^2 + 3p - 10 = 0

Factorise this:

(p - 2)(p + 5)

p = 2

p = -5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

A playhouse is in the shape of a regular octagonal pyramid with a side length of 3 feet an a slant height of 12 feet. The wood used to build the walls of the playhouse costs $3 per square foot. What is the cost of the wood for the walls of the playhouse?

Answers

Answer: We just did these problems in my math class today! Ok, so you need to find the lateral surface area, or the area of the faces/walls. The formula for triangles is

1/2 • base • height. Sub in the #s, it would be 1/2 • 6 • 12

1/2•72

36

So now we know the area of one of the faces is 36inches^2, we can multiply that by 4, which is 144. 144•3($)= $432. To sum things up, $432 is the cost to build the walls of the playhouse, and we are not adding in the base, because the base is not a face!

Step-by-step explanation:

Insert commas as needed, and then write the number in words 984200

Answers

Answer:

International - 984,200

Step-by-step explanation:

Nine hundred eighty four thousand and two hundred

Answer:

984,200

nine hundred eighty-four thousand two hundred

Step-by-step explanation:

remember that in numbers, you insert commas every three places(Place values)

A busy customer service agent handled 20 emails in 1/4 of a day. At that rate, how many emails could he handle in 1 day?

Answers

Step-by-step explanation:

20 mails in 1/4 day (0.25 day)

-> 1 day = 20/0.25 =  80 emails

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

1/4 day = 20 emails

1 day = 80 emails

The number of emails he could handle in a day is 80 emails.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example:

1/2, 1/3 is a fraction.

4/8 = 1/2 is a fraction

6/8 = 3/4 is a fraction.

We have,

The number of emails handled in 1/4 of a day = 20 emails.

This can be written as,

1/4 day = 20 emails

Multiply 4 on both sides.

4 x 1/4 day = 4 x 20 emails

1 day = 80 emails

Thus,

1/4 day = 20 emails

1 day = 80 emails

The number of emails he could handle in a day is 80 emails.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

what quadrilateral have all the attributes of rhombus ​

Answers

Answer:

A rhombus and a square since a square is also a rhombus.

what is gct of $5000​

Answers

Step-by-step explanation:

this is the answer bro or sis.

For every pound a company spends on advertising, it spends £0.43 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.

Answers

Answer:

£1 : £0.43

Step-by-step explanation:

So to make the ratio, you need the amount of money spent on advertising and the money spent on its website

Website money = £0.43

Advertising money = £1

£1 : £0.43

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