What function is the inverse of the exponential function y = 3^x?

Answers

Answer 1
y=f (x) then x= g (y)
x=3y
solve x=3y for y
if f(x) = g(x),then in(f(x)).
in(x)= yin(3)
y= in(x) / in(3)

Related Questions

Find all the values of × for which the statement is true.
[tex] | {x}^{2} + 9| = {x}^{2} + 9[/tex]

Answers

X=3 , -3


Shsjdhshajbahe

A virus jumps from monkeys to humans. The number of people P(t) who have been infected with the virus t weeks after the jump grows logistically. Suppose that initially 10 people are infected with the virus and that the continuous growth rate is 1.78. It is estimated that in the long run approximately 5000 people will have been infected with the virus. The virus is spreading the fastest approximately:________

a. 3.5 weeks after the jump.
b. 4.0 weeks after the jump.
c. 4.5 weeks after the jump.
d. 5.0 weeks after the jump.
e. None of the above is correct.

Answers

Answer:

e. None of the above is correct.

Step-by-step explanation:

The general formula for exponential growth is;

P= a(1 + r)^t

Where;

P = total number infected after a given time interval

a = initial number of infected people

r = growth rate of infection

x= time taken in weeks

Hence;

5000= 10(1 + 1.78)^t

5000/10 = (1 + 1.78)^t

500 = (1 + 1.78)^t

log 500 = tlog(1 + 1.78)

t = log 500/log(1 + 1.78)

t = 2.699/0.444

t = 6 weeks

The virus is spreading the fastest approximately 5.0 weeks after the jump.

What is exponential?

An exponential equation is an algebraic expression that has an equality and at least one unknown in one of its exponents. To be considered an equation, an expression must have at least one unknown, which is an unknown number represented by a letter, and an equality relationship.

The general formula for exponential growth is;

P= a(1 + r)^t

Where;

P = total number infected after a given time interval = 5000a = initial number of infected people = 10r = growth rate of infection = 1.78x= time taken in weeks

Hence;

[tex]5000= 10(1 + 1.78)^t\\5000/10 = (1 + 1.78)^t\\500 = (1 + 1.78)^t\\log 500 = tlog(1 + 1.78)\\t = log 500/log(1 + 1.78)\\t = 2.699/0.444\\t = 6 weeks[/tex]

[tex]t=6-1=5 weeks[/tex]

See more about exponential at brainly.com/question/2193820

Which table has a constant of proportionality between y and of 4?
Choose 1 answer:

Answers

Answer:

A, because with all of the X values they can be multiplied to get to the y value.

which figure can be produced by a rotation and reflection of figure A ?

Answers

Answer:

It can produce the shape triangle

The tables show the functions to calculate the costs for a
master plumber, M(h), and an apprentice, A(h),
depending on the number of hours, h, that it takes to
complete a job.
The total cost for work done by a crew of one master
plumber and one apprentice is the sum of the costs for
each member of the crew.
Which table shows the total cost for various times
orlad
2.75
325
A5

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

please help it due today ?​

Answers

I think the perimeter is 12.6491106407 and that the area is 17.88854382. Also point Q is (3,2) not (2,3)

If Ben goes on a 6-day hike and travels
2 miles each day, how far will he go altogether?

Answers

Answer:

12 miles

Step-by-step explanation:

Plz mark brainliest I need three more to rank up thanks.

Answer:

12 miles

Step-by-step explanation:

First we are given the Ben goes on a 6-day hike and that on one day, he travel's 2 miles.

Now, we need to make an equation for this:

6x2=x

6(days)x2(miles per day)=12 miles in 6 days

The answer is 12 miles!

Hope this helps!

which expression is the same as multiply 3 and 2 add 5 to the product then multiply by 10?​

Answers

Answer:

3 x 2 = 6 + 5 = 11 x 10 = 110

Answer:2435

Step-by-step explanation:your ervomd

help me with this question

Answers

Answer:

A

Step-by-step explanation:

The opposite of 6 IS -6

I NEED HELP ASAP!! THANK YOU

Answers

Doesn’t let me in the link

If is a segment bisector of and AB = 17, find AP.
Question 1 options:

A)

34

B)

8.5

C)

68

D)

17

Answers

Answer:

B. 8.5

Step-by-step explanation:

It's a segment bisector which means the other line bisects the direct middle of AB. 17/2 is 8.5, meaning that AP should be 8.5

Find the area of the parallelogram.
3 km
4.8 km

The area of the parallelogram is ___ square kilometers.

Answers

Answer:

14.4 km²

Step-by-step explanation:

A=b

h=4.8·3

≈14.4

Three sides of a quadrilateral measure 11.4 millimeters, 7.5 millimeters, and 9 millimeters. If the perimeter of the quadrilateral is 38.6 millimeters, what is the length of the fourth side?

27.9 mm
11.3 mm
66.5 mm
10.7 mm

Answers

10.7mm that’s the awnser

Let a = the length of a car in meters. Let b = the length of the same car in centimeters. Which number is greater, a or b? Use the drop-down menu to select your answer. a is the greater number.

Answers

Answer:

B is the greater number

Zaria bought a $75.00 gift for a friend over the internet. When she received her credit card statement she found out that the company had added $9.75 for shipping and handling. What was the shipping and handling charge as a percent of the original cost of the gift?

Answers

Answer:

13%

Step-by-step explanation:

75.00 x 13% = 9.75

A TV has a listed price of $671.98 before tax. If the sales tax rate is 7.5%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

The price of the TV with the sales tax included is $ 722.38.

Step-by-step explanation:

Given that a TV has a listed price of $ 671.98 before tax, and the sales tax rate is 7.5%, to find the total cost of the TV with sales tax included the following calculation must be performed:

671.98 + (671.98 x 0.075) = X

671.98 + 50.3985 = X

722.3785 = X

Therefore, the price of the TV with the sales tax included is $ 722.38.

Maria walks a round-trip of 0.75 mile to school every day. How many miles will she walk
in 4.5 days?
A 0.3375 mile
B 3.375 miles
C 33.75 miles
D 337.5 miles

Answers

B is your answer it gotta be

C
Question
What is the absolute value of -36?
-36
оо
6
d
36

Answers

Answer:

36

Step-by-step explanation:

Answer:

the absolute value of -36 is

36

7 in
are
9 in
11 in
15 in

Answers

Answer: 11 in

Step-by-step explanation: Hope this help :D

Someone please help me with this question I’m stuck on it

Answers

Answer:

Option 2

Step-by-step explanation:

All you need to know is that you are going to try to make that Algebraic Expression make since so that (x) is greater than (-3) negative-three. Also Option two is correct because you can put it as (1.6x+2x) ≥ -3. :)

PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

A. . . . . . . . . . .

Solve for x
F. x= 40°
G. x= 62.5°
H. x= 83.3°
J. x= 53.3°

Answers

Answer:

[tex]x + 5 + 2x - 55 = 3x - 50 = 70 \\ 3x = 120 \\ x = 40[/tex]

WILL MARK BRAINLY FOR WHO EVER GETS THE ANSWER FIRST

Answers

Answer:

The point was reflected along the y axis.

Step-by-step explanation:

Since they are both negative, it went to Quadrant III. It was previously in Quadrant IV, which means that To get from IV to III we need to reflect the points along the Y axis.

10:28
now
MESSAGES
sidneys
I'm so excited to see where my business goes
A cereal company is putting 1 of 3 prizes
in each box of cereal. The prizes are
evenly distributed so the probability of
winning any given prize is always 1/3.
Adam wonders how many boxes he
should expect to buy to get all 3 prizes.
He carried out 32 trials of a simulation and
his results are shown below. Each dot
represents how many boxes it took to get
all 3 prizes in that trial.
3 4 5 6 7 8 9 10 11 12 13
# of boxes purchased
Use his results to estimate the
probability that it takes 9 or more
havas to not all ?

Answers

I don’t get what your trying to ask.....

please help i will give brainlest to the first one who answers

Answers

y=x+9 is your answer

Answer:

The answer is x+9.

I hope you like my answer.

The first rule is add 8, then divide by 2 starting from 0. The second rule is multiply by 2, then subtract 1 starting from 3. What are the first four ordered pairs using the two sequences?

(0, 3), (4, 5), (6, 9), (7, 17)
(0, 5), (4, 7), (6, 9), (7, 17)
(0, 3), (4, 9), (6, 9), (7, 17)
(0, 4), (3, 5), (5, 9), (6, 17)

Answers

Answer:

(0, 3), (4, 9), (6, 9), (7, 17)

Step-by-step explanation:

Answer:

A is the anser

Step-by-step explanation:

i know the anser i did it before

lf oil costs $95 per barrel and $1 =R8. How much does a barrel cost in rands?.​

Answers

Answer:

R760

Step-by-step explanation:

If $1 is equivalent to R8 and the total oil costs $95 you must multiply 8x95. This leaves you with an answer of R760

This is the last question I need please help (the first one to help will be marked brainliest!)

Answers

Answer:

x = 19

Step-by-step explanation:

The 5x + 30 should also = 125, since they both have the same angle.

So you can make this equation:

125 = 5x + 30

125 - 30 = 5x

95/5 = x

x = 19

Step-by-step explanation:

125°=5x+30°

125-30= 95

95÷5=19

so x = 19

If f(x) = 7x +3 and g(x) = (x-4,
what is (fºg)(40)?

Answers

Answer: 280x^2 - 1000x - 480

Step-by-step explanation:

((7x + 3) * (x - 4))(40)

use foil

7x^2 - 28x + 3x -12

(7x^2 - 25x - 12) (40)

280x^2 - 1000x - 480

Julio has started his very own floral business. He sells centerpieces for $19.50 each. His fixed costs are $500 per
month, and each centerpiece cost $8 to produce.
Determine your break-even point. Suppose you wish to break even by selling only 25 centerpieces. At what price
would you need to sell each centerpiece?
a. Julio must sell 25 centerpieces at $35 each to break even.
b Julio must sell 25 centerpieces at $25 each to break even.
C. Julio must sell 25 centerpieces at $40 each to break even.
d. Julio must sell 25 centerpieces at $28 each to break even.

Answers

The answer should be C
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