What function is the inverse of the exponential function y = 4^x?

Answers

Answer 1

The function that is the inverse of the exponential function y = 4^x is lnx/ln4

Exponential functions

The standard exponential function is given as y = ab^x

Given the function

y = 4^x

Replace y with x

x = 4^y

Make y the subject of the formula

lnx = ln4^y
lnx = yln4

Divide both sides by ln4

lnx/ln4 = y

Hence the function that is the inverse of the exponential function y = 4^x is lnx/ln4

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Related Questions

a number is twice the other. if their sum is 30,find the number. ​

Answers

Answer:

x+2x = 30

Step-by-step explanation:

3x = 30

x= 10 hope it helps

Answer:

10

Step-by-step explanation:

10 x 2 = 20

20 + 10 = 30

I will give brainliest, Please help on this... Show ur work please and thank you

Answers

Answer:

n=9

Step-by-step explanation:

-5-4n=-41

+5        +5

---------------

-4n=-36

---------------

-4n/4=-36/-4

---------------

n=9

if x^2/3 = 4, what is x^2

Answers

Answer:

x=2√3

Step-by-step explanation:

Let's solve your equation step-by-step.

x2

3

=4

Step 1: Simplify both sides of the equation.

1

3

x2=4

Step 2: Divide both sides by 1/3.

1

3

x2

1

3

=

4

1

3

x2=12

Step 3: Take square root.

x=±√12

x=2√3 or x=−2√3

what does the absolute value of the y coordinate tell you?

Answers

Step-by-step explanation:

in x ,y =0

in y ,x =0

i think its thik ok dont mind if its wrong

Answer:

Step-by-step explanation:

x-axis

Xavier has x dollars. this morning Alex had twice as much money as Xavier. After alex spent 3 dollars on chips, he only had 7 dollars left. how much money does Xavier have

Answers

xavier= 5 dollars

Alex:

he has ten dollars why he has twice as much.

Which value of m makes this equation true? m - 8 = -1
m = 9
m=7
m= -9
m = -7

Answers

Answer:

The answer is 7 because if we write 7 - 8 = -1, then we could see that the answer would be -1 since 7 is 1 value lower than 8, and 8 - 8 = 0, so if 7 is lower than 8 by 1, then you would go one value lower from 0, which is -1. You can also figure this out by looking at a number line and starting from 7 and then going backwards 8 times and whatever number you land on after going back 8 times is your answer.

what is ( 6 - 8 + 5 ) ?

Answers

Answer:

3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

use pemdas

but ONLY use

Paratheses

Addtion

Subtraction

So, do 8+5

that equals 13

Next, do 13-6

that is 7

So, your answer is 7


The number factor of a variable term is called the
a) variable
b) constant
c) algebraic expression
d) numerical coefficient

Answers

It’s the coefficient. I don’t know what a numerical coefficient is but that would be my best guess. Sorry if it is wrong. Hope that helps!

The number factor of a variable term is called the numerical coefficient.

Algebraic expression are made of terms . Terms might be a signed numbers, a variable, or a constant multiplied by a variable or variables.

Examples of an algebraic expression is as follows:

4x + 7

When a constant is multiplied by a variable or variables , that constant is called the coefficient.

In our example the variable is x . The number factor of the variable term x is called the numerical coefficient .

Therefore, the numerical coefficient in our case is 4.

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If the mean of five values is 64,what is the sum of the values?

Answers

Answer:

320

Step-by-step explanation:

64x5=320

What is the value of m?
A. 67
B. 73
C. 90
D. 140

What is the value of n?
A. 107
B. 113
C. 115
D. 140

Answers

Answer:

m= 90

Step-by-step explanation:

I don't know about n because i forgot what the total degree of hexagon will be

HELP ITS TIMED WILL MARK BRAINLIEST!!

16x^2+169=0

Answers

Answer:

No solution

Step-by-step explanation:

Use the quadratic formula

Simplify

No real solutions because the discriminant is negative

elaciona las columnas com lindas
rturo ha hecho una tabla de la dieta que seguirá, pero empezó por las calorías que ingerirá
quiere saber la cantidad de gramos que puede consumir por alimento.
220 gramos
65.6 calorias de pera
80 gramos
957 calorias de carne
350 gramos
3500 calorias de pan
875 gramos
840 calorias de queso​

Answers

Answer:

6,887.6

Step-by-step explanation:

220+ 65.6+ 80+ 957+ 350+ 3500+ 875+ 840= 6,887.6

The amount of grams he can consume per food are:

65.6 calories pear is 220 grams.957 calories of meat is 350 grams.3500 calories of bread is 875 grams.

What is a calorie?

A calorie can be defined as a standard unit which is used for the measurement of the total quantity of energy contained in a particular food.

Based on the given information, the amount of grams he can consume per food in accordance with the standard set by the Food and Drugs Administration (FDA) are:

65.6 calories pear is 220 grams.957 calories of meat is 350 grams.3500 calories of bread is 875 grams.840 calories of cheese​ is 80 grams.

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12 4/5 x 1/4 is what please hurry!!!

Answers

Answer:

16x/5

Step-by-step explanation:

Answer:

3 1/5

Step-by-step explanation:

This is a really hard question

Answers

Answer:

D. 4x - 6

Step-by-step explanation:

f(x) = 4x - 2f(x - 1) = 4(x - 1) - 2 = 4x - 4 - 2 = 4x - 6

Correct option is D

Answer:

The answer is in the photo hope it helps

Step-by-step explanation:

If g(x)=x+7 translated down 3 units

Answers

Answer:

g(x)=(x+7)-3

Step-by-step explanation:

I am not so sure of what you meant for your question but I put it into an equation. it goes left 7 and 3 down.

What expression is equivalent to 4(-5z+2)+(-6)4(−5z+2)+(−6)

Answers

Answer:

option B

Step-by-step explanation:

looked it up ,have a good day !!:3

In Salsa stories, Ashir uses sawdust on the floor for his carpet making. For the painting of the one carpet he needs 20 sacks of sawdust. If each sack weighs 3 whole 1/2 pounds ,what is the weight of the sawdust he needs for each carpet?
1) 70 pounds
2) 68 pounds
3) 72 pounds

Answers

Answer:

i think its 70 pounds

Step-by-step explanation:

if not i am  sorry

the expression -5x^2 + 25x + 70 can be used to estimate the height,

Answers

Answer:

555suyaiata7ata7yayata

Part B
Which operation should you perform first in the expression 12 × 4*2?

Answers

Answer:

Step-by-step explanation:

If you mean 12×4², the exponent is performed first.

12×4² = 12×16 = 192

If you mean 12×4×2, it is left to right, although in this case the order doesn't matter.

12×4×2 = 96

solve for x and justify your answer ​

Answers

Do u mind zooming out?
71+58+x=180
129+x=180
X=180-129
X=51 degrees

PLEASE HELP!!!

At the movie theater, the total value of tickets sold was $2,587.50. Adult tickets sold for $10 each and senior/child tickets sold for $7.50 each. The number of senior/child tickets sold was 25 less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?
adult tickets
senior/child tickets

Answers

Answer:

Your answer

Adult ticket : 111

senior/ child ticket : 197

Guys help, what is 5+5+5+5+ lol

Answers

Answer:

20

Step-by-step explanation:

The awnser is 20 :) have a good day

Help please ASAP!! please and thank you have a great and blessed day!

Answers

Answer:

1st 4th and 5th one.

Answer:

Yes

No

No

Yes

Yes

No

Step-by-step explanation:

1) 10 * 10 * 10 = 1000

2) 10 * 10 is not = to 1000

3) 10^2 is not = to 1000

4) 10^3 = 1000

5) simplify it is 150

6) simplify it is not 1500

Find the area of this triangle. Round to the nearest tenth. ASAP PLEASE.

Answers

Answer:

the answer is 60.0

Step-by-step explanation:

28.8+12+18=58.8

rounded to the nearest 10th would be 60.0

Write in the slope-intercept form an equation of the line that passes through the given points.

(6,8),(3,−9)
I need an answer ASAP
I will give the brainiest!

Answers

Answer:

y=17/3x-26

Step-by-step explanation:

So what you need to do is find the slope and y-intercept. Then, you write it in y=mx+b form. m=slope, b=y-intercept. So in this case, 17/3 is the slope, and -26 is the y-intercept. Hope this helps :)

Hey Can somone please help meeee

Answers

Answer:

7/6 or 1.16 repeating

Step-by-step explanation:

7/8//3/4

7/8 x 4/3

7 x 4/ 8 x 3

7 / 2 x 3=

7/6 or 1.16 repeating

propose new names for the numbers 11 12 13 14 15 16 17 18 19 so at the naming scheme is consistent with the number 20 and above?

Answers

Answer:

that is your answer 10.34

f(x) = 3x - 3
g(x) = 3x3
Find f(x) + g(x)

Answers

Step-by-step explanation:

f(X)+g(X)

or, 3x-3+3x^3

or,3x^3+3x-3

Hello please help if you can

Answers

Answer:

C) y = 2x +8

Equation of the straight line passing through the point (-2,4) and having slope m =2

y = 2x +8

Step-by-step explanation:

Step(i):-

Given that the points are (-2,4) and (6,20)

The slope of the line

   m =   [tex]\frac{20-4}{6-(-2)} = \frac{16}{8} =2[/tex]

    m =2

Step(ii):-

Equation of the straight line passing through the point (-2,4) and having slope m =2

y - 4 = 2( x-(-2))

  y = 4 + 2x  +4

 y = 2x +8

Angela S. became a famous architect. She made $90000 in 2004. Then, in 2005 she made 120000.

Answers

Answer:

The percentage increase on her income will be determined by subtracting tge the initial profit from the final profit then dividing by the initial and multiplying by 100.

Step-by-step explanation:

Other Questions
PLZZZ HELP I WILL MARK BRAINLIEST Question:Summarize the main points you learned about today from the Cause and Effect article we read today.The article is down below susan ran 2.75 miles in 1/4 of an hour how fast was she traveling !!Please Help Asap!!Besides being a fraction, what is another way to describe the meaning of 35/11? HELP PLESE WILL GIVE BRAINLIST PLEASE HELP ME Amazing & Unforgettable Whale Watching Cruises!Are you ready to experience the wonder of nature firsthand? There is no more fun and relaxing way to do so than a whale watching cruise! When you sign up for a two-hour excursion on our state-of-the-art boats, our knowledgeable crew will provide beautiful ocean views, fascinating facts about humpback whales and other local marine life, and of course the experience of a lifetime the chance to see a humpback whale! Our boats will get you as close as safely possible to these majestic animals.Whale watching passengers often see fun humpback whale behaviors such as fin slapping, tail throws, and blowing (breathing through the blowhole). If youre lucky, you may see a whale breach (leap out of the water). Sometimes, humpbacks even lift their heads to look around at whale watching boats.Whale watching cruises depart daily at 9:00 AM and 12:00 PM. Tickets are $20 per person. (There are discounts for children and seniors.) Snacks and drinks are available for purchase on the boat. Please dress warmly, as winds tend to be strong on the water. Dont miss this chance to see some of Earths most amazing creatures up close. Sign up for your whale watching cruise today!Question: What is the purpose of the opinions in this passage?A.) to convince you to sign up for a boat tripB.) to inform you on how to protect the whalesC.) to explain the authors feelings about whalesD.) to provide facts about humpback whales What is life like for people who live in rural villages of Africa? picture above ^^ pick one of multiple Choice [tex]2+\frac{3}{4}x=\frac{5}{12}[/tex] The tree in johns backyard is 7 meters high. How high is it in in centimeters? Why do so many people were afraid to speak up and tell the world what happened in 1921 about tulsa race riots ? i am a parent and needhelp with this 11 + 3(9 6) 4 Lee la oracin siguiente y vuelve a escribirla con un pronombre de objeto directo.Diego y Josu pusieron los postres en la mesa._______________________________________ Over a 24 hour period the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70*F in the morning, rises to a high of 80*F, falls to a low of 60*F, and then rises to 70*F by the next morning. What is the equation for the sine function f(x), where x represents time on hours since the beginning of the 24 hour period that models the situation 18. Los estudiantes a veces______(descansar) despus de las clases. Please help! Will mark brainliest if correct Question is in the photo. Please help ASAP. Which expression is equivalent? 2Alice and Charlie share some money in the ratio 5:12.Charlie gets 108. How much does Alice get? -HELP! Look at the picture below and answer correctly so i can mark you as brainliest. A boy kicks a ball away in a football field.Which of the following is true about his work done?a. The energy is dissipated in the air.b. The energy has transferred from one object to another.C. The boy does not perform any work.d. The work done produces twice the amount of heat energy.