Which of the following equations is equivalent to the logarithmic equation
below?
x = In4

Which Of The Following Equations Is Equivalent To The Logarithmic Equationbelow?x = In4

Answers

Answer 1

Given:

The equation is:

[tex]x=\ln 4[/tex]

To find:

The equations that is equivalent to the given logarithmic equation.

Solution:

We have,

[tex]x=\ln 4[/tex]

It can be written as:

[tex]e^x=e^{\ln 4}[/tex]

[tex]e^x=4[/tex]                  [tex][\because e^{\ln x}=x][/tex]

Therefore, the correct option is D.


Related Questions

Alex drew a quick sketch of the outline of his garden. What is the area of the garden in square meters

Answers

Answer:

218

Step-by-step explanation:

Drag each rational number to the correct location on the table.
Identify the rational numbers as positive or negative.

Answers

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

Answer:

Positive: 1+/+3  -2/-3  +2/+3  -1/-3 negative:-2/+3 +2/-3  -1/+3  +1/-3

Step-by-step explanation:

Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n squared minus 16 Over n cubed + 4 EndFraction? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to ∞.

Answers

Calculating the limit as n goes to infinity, it is found that:

The sequence converges to 0.

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

The sequence is given by:

[tex]a_n = \sum_{n=0}^{\infty} f(n)[/tex]

In which

[tex]f(n) = \frac{n^2 - 16}{n^3 + 4}[/tex]

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

If the limit of f(n) as n goes to infinity is a value, it converges to this value.If the limit of f(n) as n goes to infinity is infinity, it diverges.

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

The limit is:

[tex]\lim_{n \rightarrow \infty} f(n) = \lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4}[/tex]

Since it is a limit going to infinity, we consider just the terms with the highest exponents in the numerator and the denominator. Thus:

[tex]\lim_{n \rightarrow \infty} \frac{n^2 - 16}{n^3 + 4} = \lim_{n \rightarrow \infty} \frac{n^2}{n^3} = \lim_{n \rightarrow \infty} \frac{1}{n} = \frac{1}{\infty} = 0[/tex]

Thus: The sequence converges to 0.

A similar question is given at https://brainly.com/question/20553793

Answer: D The sequence converges to ∞.

Step-by-step explanation:

got it right 2022 edge

laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?

Answers

Answer:

Laura needs to try 36 more times before the lock is sure to open.

Step-by-step explanation:

Alright, with a three digit lock, there are 9 possible numbers for each digit:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Since the first one is 3, lets move onto the second digit, which is prime.

Of the numbers between 1-9,

2, 3, 5, and 7 are prime.

With the last digit, it can be any number 1-9.

With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.

Find the area of the following triangle: 17 9 14 10 Note: Figure not to scale.​

Answers

Jejkskskdjjdjshdbdbsnnsjskskksk 13455

Which symmetries does a right square pyramid have? Check all that apply.


a plane of reflection that passes through the vertex and opposite corners of the base
a plane of reflection that is parallel to the base and passes through the midpoints of the edges connecting the vertex to the base
a plane of reflection that passes through the vertex and midpoints of opposite sides of the base
an axis of symmetry that contains the vertex and center of the base
an axis of symmetry that contains two vertices on the bases that are opposite each other

Answers

Answer:a.c,d

Step-by-step explanation:

PLEASE help me ASAP with this QUETION!!!!!!!!!!

Answers

Answer:help with what

Step-by-step explanation:

You need to say

Gloria placed 2 apples into each of 14 boxes. Let a represent the total number of apples she had. Which of the following best represents this situation?


A

B

C

D

Answers

Answer is A. Hope it’s correct

Answer:

A. a=14×2

Step-by-step explanation:

Since there are 2 apples per box, you just need to multiply to get your answer which would be 28.

Is (5.7) a solution for the following system of equations?
y=2x-3
y=x+2

Answers

Answer: yes y=2x-3, y=x+2 :  y=7, x=5

During a trip, a driver travelled a distance of 80km at an average speed of 60km/hr.He then changed his speed and travelled the remaining 20km of his journey at 30km/hr. What was the drivers average speed for the entire journey?
Show all working!!​

Answers

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr

Writing a ratio as a percentage This year Jessica watched 40 movies. She thought that 16 of them were very good. Of the movies she watched, what percentage did she rate as very good?​

Answers

16/40 percent is 40%

Solve the following quadratic equation for all values of xx in simplest form.
5(2x+1)^2+6=26 cant figure this out!!

Answers

Answer:

x=1/2 and x=-3/2

Step-by-step explanation:

5(2x+1)^2+6=26

5(2x+1)^2=20

(2x+1)^2=4

2x+1=±2

Now make two equations and solve both for x:

2x+1=2

2x=1

x1=1/2

2x+1=-2

2x=-3

x2=-3/2

What is the total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts?. The price of nails is $1.30/lb, the price of washers is $0.80/lb, and the price of bolts is $2.50/lb.

Answers

Answer: $13.30

Step-by-step explanation:

price of nails = $1.30/lb

price of washers = $0.80/lb

price of bolts = $2.50/lb

The total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts will be:

= (2 × $1.30) + (4 × $0.80) + (3 × $2.50)

= $2.60 + $3.20 + $7.50

= $13.30

The total cost is $13.30

HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

Learn more about the mathematical expression visit:

https://brainly.com/question/3624808

#SPJ2

The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Jim and Carol recorded gas prices at five stations for their own towns in the table below. Gas Prices Name Station 1 Station 2 Station 3 Station 4 Station 5 Jim $3.45 $3.54 $3.71 $3.62 $3.49 Carol $3.89 $3.65 $3.39 $3.48 $3.49 Which person's town had the lower mean for gas prices and by about how much?
A Jim, by $0.02
B Carol, by $0.02
CJim, by $0.06
D. Carol, by $0.06​

Answers

The answer is letter C

Find the exact solution to the equation. 5^(6-2x) = 25

Answers

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

[tex]5^{(6-2x)}[/tex] = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

Larry and 3 friends went to a basketball game. They
paid $5.00 for each of their tickets and each bought a
bag of candy. If they spent a total of $28, how much
was each bag of candy?

Answers

5x3= 15
The tickets were $15 in total
28-15= 13
13:3= 4’3
Each bag of candy was $4’3

Answer:5x3= 15

The tickets were $15 in total

28-15= 13

13:3= 4’3

Each bag of candy was $4’3

Step-by-step explanation:

what is the median for this set of numbers 10,9,23,68,70,4,12,4​

Answers

Answer:

11

Step-by-step explanation:

Also u can search up mean, median, mode calculator and type in any numbers u want and it will give u the mean, median, mode, range and more

Help with this please!!

Answers

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

please help ill give brainliest answer!!

Answers

Answer:

Brainlyest answer plz

Answer:

IJ=77

Step-by-step explanation:

[tex]\frac{35}{20} =\frac{IJ}{44}[/tex]

[tex]20IJ=1540[/tex]

[tex]IJ=77[/tex]

Which of the following is true about the expression v3 • V12?

Answers

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Burger Town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra topping, t. Which of the following equations best represents the cost, c, of a cheeseburger?

Answers

Answer:

7.95+1t

Step-by-step explanation:

7.95 is the base price, if you want to order a cheeseburger you HAVE to pay 7.95. Now if you want to order toppings, one topping costs 1 dollar. That's why it is 1t. So the final equation is .....

7.95+1t

Hope this helped!! :D

Answer:

C=7.95+1.00t

Step-by-step explanation:

The table below shows the hours. x spent working on a new and the distance, y, of fished road.
Time. Distance
(hours) (miles)
50. 1.5
200. 6
350. 10.5
400. 12
650. 19.5


What is the slope of the line that is these date
A. 3/400
B. 3/100
С . 3/23
D. 3​

Answers

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

What is slope of line?

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

[tex]x_1[/tex]=1.5, [tex]x_2[/tex]= 6, [tex]y_1[/tex]= 50, [tex]y_2[/tex]= 200

Slope of line, m= Δy/Δx

                       m=  [tex]x_2[/tex]- [tex]x_1[/tex]/ [tex]y_2[/tex]-  [tex]y_1[/tex]

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

Learn more about slope of line here:

https://brainly.com/question/16180119

#SPJ2

Whats LN? *with picture*

Answers

Answer:

LN = 15 in

Step-by-step explanation:

We can say that arc PL plus arc LM is equal to arc PM:

arcPL + arcLM = arcPM

We can substitute what we have:

10 + 14 = arcPM

arcPM = 24.

Since both arcPM and arcLN equal 24, we can say they are congruent.

In circles, congruent arcs create congruent chords, so, we can say PM = LN.

Since PM is 15, LN = 15 in

can someone help me

Answers

Answer:

1,138 is the volume but I don't know how to find the surface area

The volume is 1,138. Hope this helps

I need help with this question for hw

Answers

6^11
Or 6 to the 11th power

Hope this helps ya :D

What is the range of the following parabola? (5 points)

Answers

Answer:

D

Step-by-step explanation:

Range is all the possible Y values in a graph

we can see that the graph will never reach a y value greater than three but will go to negative infinity

This means that answer is D (the y value will always be less than or equal to 3)

A school bus has 25 seats, with 5 rows of 5 seats. 10 students from 2nd grade and 5 students from 1st grade travel on the bus. How many ways can the students be seated if the 2nd graders have to sit in the first two rows?

Answers

Answer:

(Answer in attachment, explanation below)

Step-by-step explanation:

The answer is B. 5P5 x 20P15.

This is because to make the second grade students to sit in the first row we have 5 seats and 5 students so we will permute the 5 students to those 5 seats. So 5P5.

Now we are left with 20 seats and 15 first grade students so we can simply permute those 15 students into those 20 seats. So 20P15.

Finally using the counting rule principle we will multiply both of these so 5P5 x 20P15.

No. of students from first grade = 15

No. of students from second grade = 5

There are 5 rows of seats

Each row contains 5 seats

Total seats = 25

No. of ways for second-grade students occupy the first row(i.e first 5 seats) =  

Remaining seats = 20

No. of students from first grade = 15

So, No. of ways for first-grade students occupy remaining seats =  

So,  No. of ways for the students can be seated if all of the second-grade students occupy the first row =  

So, Option B is true

Hence No. of ways for the students can be seated if all of the second-grade students occupy the first row is

Thomas wants to spend no more than $25.50 movies and CDs. If he buys a movie for $9.50 and the CDs cost $5.00, how many CDs can Thomas purchase?

Answers

Answer:

3

Step-by-step explanation:

25.5-9.5=16

16-15=1 (highest multiple of 5 that fits into 16)

He can buy 3 cds and he will have $1 left over

the equation of the line that is perpendicular to the line with equation y=-2x-1 and passes through the point (1, -2) is?

Answers

Answer:

[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]

Step-by-step explanation:

Hi there!

Note that:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

When we look at the given line, [tex]y=-2x-1[/tex], we can identify that -2 is in the place of m, the slope of the line. Because perpendicular lines are negative reciprocals of each other, we know that a line perpendicular to this would have a slope of [tex]\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2} x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2} x+b[/tex]

Plug in the given point (1,-2)

[tex]-2=\frac{1}{2}(1)+b\\-2=\frac{1}{2}+b[/tex]

Subtract 1/2 from both sides

[tex]-2-\frac{1}{2}=\frac{1}{2}+b-\frac{1}{2}\\-\frac{5}{2} = b[/tex]

Therefore, the y-intercept of the line is [tex]-\frac{5}{2}[/tex]. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]

[tex]y=\frac{1}{2} x-\frac{5}{2}[/tex]

I hope this helps!

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