Is log e and log same?

Answers

Answer 1

The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.

The log with a base "e" (log e) is the same thing as In

The natural logarithmic function log e  refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;

We can say that:

log e = ln

Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.

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Related Questions

There were 17 students in the class at the start of the school year. During the year, three pairs of new students transferred into the class. How many students are in the class at the end of the school year?

Answers

Answer:

23

Step-by-step explanation:

a pair is 2 so 2 pairs time 3 2x3=6 so 17+6=23

23?
17 originally +2 +2 +2
6+17

Solve the equation for x, explain how you found the solution. pls help me

2x + ½= 8

Answers

Move all terms not containing x
to the right side of the equation.

2x=15/2

Divide each term by 2
and simplify.

x=15/4

Exact Form: x=15/4

Decimal Form: x=3.75

Mixed Number Form: x= 3 3/4 good luck:)

How do you write an expression in factored form?

Answers

To write an expression in factored form, its products needs to be deduced.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Factoring is the process of representing a given number or algebraic statement as the product of its components.

For example - Consider the binomial 3x^2-9x.

On simplifying it -

3x^2-9x = 3x(x-3)

So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.

Another example is - Consider y^2-100.

The terms used here can all be expressed as squares.

y^2 − 100 = y^2 − 10^2

(y + 10)(y − 10)

The factors in this case are (y + 10) and (y - 10).

Therefore, the products are the factors of an expression.

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No links plz! Will mark brainliest if correct!

Answers

Answer:

(m-4) / (5m)

Step-by-step explanation:

((m²-16) / (5m)) / (m+4) =

(m²-16) / (5m(m+4)) =

m²-16 / (5m²+20m) =

(m-4) / (5m)

image below someone help me i will give brainliest

Answers

I’m sure the answer is 140.

(a-b)(a+2)-(a+b)(a-2)

Answers

Answer: 4a - 2ba, also written as 4a - 2ab.

Step-by-step explanation:
1. Mulitply (a-b) with (a+2) using the FOIL method, in which you would multiply a with a, a with 2, -b with a, and -b with 2. After multiplying that you would get a^2 + 2a -ba -2b.

2. Mulitply (a+b) (a-2) using the FOIL method, in which you would multiply a with a, a with -2, b with a, b with -2. After multiplying that you would gett a^2 + 2a -ba -2b.

3. Now, simplify a^2 + 2a -ba -2b - a^2 + 2a -ba -2b by combining like terms. This should give you 4a - 2ba, also written as 4a - 2ab.

Find the exact values of sin (-pi/12)

Answers

I showed the solution and the answer on a piece of paper in the photo

Answer:

[tex] - 0.25881904[/tex]

Step-by-step explanation:

Use the identity

[tex] \sin( - x) = - \sin(x) [/tex]

so

[tex] \sin( - \frac{\pi}{12} ) = - \sin( \frac{\pi}{12} ) [/tex]

Use angle subtraction trig formula

[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]

In order to get pi/12, we can subtract

pi/4 and pi/6.

[tex] \sin( \frac{\pi}{4} - \frac{\pi}{6} ) = \sin( \frac{\pi}{4} ) \cos( \frac{\pi}{6} ) - \cos( \frac{\pi}{4} ) \sin( \frac{\pi}{6} ) [/tex]

Simplify.

[tex] (\frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2}) - ( \frac{ \sqrt{2} }{2} \times \frac{1}{2} )[/tex]

[tex] \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4} [/tex]

[tex] \frac{ \sqrt{6} - \sqrt{2} }{4} [/tex]

which is about

[tex]0.25881904[/tex]

Remeber our sin is negative so our answer is

[tex] - 0.25881904[/tex]

combine like terms:


Answers

Answer:

20x²

-5xy

14y²

Step-by-step explanation:

17x² + 3x² = 20x²

-3xy - 2xy = -5xy

14y²

Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick

Answers

So, Todd picked 1 apple.

We can use the information given to set up the following equations:

Let x be the number of apples Jack picked, and y be the number of apples Marta picked.

We know that x + y = 16 (Jack and Marta pick a total of 16 apples)

Let y be the number of apples Marta picked, and z be the number of apples Rand picked.

We know that y + z = 15 (Marta and Rand pick a total of 15 apples)

Let z be the number of apples Rand picked, and w be the number of apples Todd picked.

We know that z + w = 13 (Rand and Todd pick a total of 13 apples)

We know that the total number of apples picked is 45, therefore x + y + z + w = 45

We can use the equation x + y = 16 to express x in terms of y:

x = 16 - y

We can substitute this into the other equations

(16 - y) + y = 16

y + z = 15

z + w = 13

We can sum all the equations:

(16 - y) + y + y + z + z + w = 45

16 + 2y + 2z + w = 45

From the equation y + z = 15, we can substitute y = 15 - z

16 + 2(15 - z) + 2z + w = 45

16 + 30 - 2z + 2z + w = 45

46 + w = 45

w = 1

Therefore Todd picked 1 apple.

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Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?

Answers

Santiago can make 7 dumplings

To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).

To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:

5 11/16 = (5 * 16) + 11/16 = 80 + 11/16

Now we can divide:

(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13

So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.

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3
1
3
19 -3
to get 75 13)?
Which matrix post multiplies to
4​

Answers

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Find the measure of the exterior 21.
60°
7
25

Answers

Answer:

A 85 hope it helps you

thank you

Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x

Answers

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

can someone check my answer & explain?

Answers

Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm

9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?

Answers

Answer: N= x24 over 3

Step-by-step explanation:

Which of these expressions is equivalent to log (15/7)

Answers

Answer:

log(15)-log(7)

Step-by-step explanation:

just trust me cuh

Which triangle is triangle MNO similar to and why?

Answers

Answer:

triangle GHK

Step-by-step explanation:

angles add up to 180

angle N + angle M + angle O = 180

79 + 22 + angle N = 180

180 - 79 -22 = angle N = 79

triangle GHK has 2 of the same angles (79 and 79), so that is our answer

34. The length of one side of the
square is 5 cm and the height of the
triangle is 4 cm. What is the TOTAL
area of the figure, in cm2?​

Answers

Answer:

9 is the answer in 50% sure

What is the sum of interior angles of triangle?
a) 360°
b) 100°
c) 180°
d) 200°​

Answers

Answer:

c) 180

Step-by-step explanation:

each angle of the triangle is 90

Answer:

the answer is c. 180° :))

Select the correct answer.
Which piece of information is listed in the income section of a tax return?
A dependent care expenses
B.
dividends
OC. retirement plan contributions
OD
student loan interest

Answers

A. Dependent care expenses

9514 1404 393

Answer:

  B.  dividends

Step-by-step explanation:

You're looking for an income item.

Expenses, contributions, and loan interest are amounts paid, not amounts received. The only income item listed is "dividends."

pls help with math!!!!

Answers

Answer:

Cubic

Step-by-step explanation:

It's cubic because the 3 on top of the n means that it's cubic. Also since it's cubic, when you graph it it will show that it's a cubic function. Hope this helps!

Mr.Rotich decided to honour top 3 students in Mathematics by sharing sh 12000 in the ratio 6:5:x for the first,second and third student respectively.if student number 2 got sh 4000,find the value of x​

Answers

Answer:

4

Step-by-step explanation:

Given data

Number of student= 3

Total amount= 12000

Ratio= 6:5:x

Combined ratio= 6+5+x= 11+x

Applying the part to all method

if student number 2 got sh 4000

then

5/11+x= 4000/12000

5/11+x= 1/3

cross multiply

11+x= 15

x= 15-11

x= 4

Hence the value of x is 4

Find the difference of (2x2 – 5x + 7) - (7x2 + 3)

Answers

Answer:

[tex]{\small{\boxed{\sf{\red{here \: is \: your \: solution..}}}}} \\ \\ {\small{\boxed{\sf{\purple{ = (2x {}^{2} - 5x + 7) - (7x {}^{2} + 3) }}}}} \\ \\ {\small{\boxed{\sf{\purple{ = 2x {}^{2}- 5x + 7 - 7x {}^{2} - 3 }}}}} \\ \\ {\small{\boxed{\sf{\pink{ = - 5x {}^{2} - 5x + 4 }}}}} \\ \\ [/tex]

[tex]\small\mathfrak\green{hope \: it \: helps... |...| }[/tex]

What is the total area, in square inches, of the shaded sections of the trapezoid
below?
5.4 in
7.9 in
4.8 in
5 in

Answers

First:

Break the shape into parts, this shape can be broken into 3 parts.

Next :
Put the equation for each shape

Shape 1 ( left shape)
L x h
5.4 in x 4.8 in = 25.95 in

Shape 2 (middle shape)
L x H
5in x 4.8in = 24in

Shape 3 ( right shape)
L x H
7.9 in x 4.8 in = 37.92 in

Last:
Add them all up

25.95 in
+ 24in
37.92in
——————
87.87in

Answer
87.87 in 2

I hope this helped and that I was right, have a nice day.


Convert 12/25 and 15 /35​

Answers

12/25: 0.48
15/35: 0.428571

Answer:

12/25 = .48

15/35 = .42857143...

Help please!!! Fine the inverse for each relation

Answers

Answer:

1. (-3,1) (3,-2) (1,5) (4,6) 2. (7,-5) (-8, -6) (-2,1) (3,10)

Step-by-step explanation:

To find the inverse of ordered pairs you need to switch their orders. For example, given (-2, 5) and told to find the inverse, your answer would be (5, -2).


There are 181 students going on a college field trip.

11 students ride in cars

The rest of the students fill 4 buses.

Enter an equation that can be solved to find the number of students, s, that are on each bus.

Enter your response in the first response box.

Enter the number of students that are on each bus.

Enter your response in the second response
box.




It’s due today please help!!

Answers

Answer:

42.5 (students that are on each bus)

Step-by-step explanation:

181 (students)-11 (students in cars) =170 students left

170(students left)÷4(buses)= 42.5(students that are on each bus)

Hope this help you

whats the answer? please help!

Answers

Answer:

Step-by-step explanation:

we konw the speed of burn is 1.25 inchs per hour. so, the left candle is

15-1.25t. the answer is L=15-1.25t

Can someone help me out my grade are bad

Answers

Answer:

a. 0.4 and 0.5

b. 0.46

Step-by-step explanation:

i don't know if this right, so lmk

What is the perimeter?
Help plz...
And No links!! I repeat No links!!

Answers

Step-by-step explanation:

soln:

In right-angled triangle,

hypotenuse (h)=20mm

base(b)=12mm

perpendicular (p)=?

Now,using Pythagoras theorem,

h^2=p^2+b^2

or, 20^2=p^2+12^2

or,400-144=p^2

or,p=√256

thus,p=16mm

Now,

perimeter= sum of all three sides

i.e. p=20+12+16=48 Ans

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The heart that feels not now is dead. The blood of his children will curse cowardice 2. Experiment: Click Play and hunt peppered moths on dark tree trunks for five years. In each year, try to capture as many moths as you can. When you are done, select the TABLE tab and record the percentages of each moth type. Year Dark moths Light moths o 1 2 3 4 5 Choose the equation that represents the line passing through the point (-3,-1) with a slope of 4.y=4x-11y = 4x + 11y = 4x + 7y=4x-7 Choose one or several of the 4 new ideas that best reflects the quote please answer in complete sentences and to make sure to explain your answer "The motto of the Enlightenment is 'Dare to Know!' Have the courage to use your own intelligence." -- Immanuel Kant a. rationality b.progressc.freedom of thought d.humanitarianism (Please be quick as possible!) The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse. Is 10 12 15 a Pythagorean triple? When Edna's phone is fully charged, it can operate for up to 18 hours before running out of battery. It has been 6 hours since Edna's phone was fully charged. Let x represent how many more hours Edna's phone can operate without running out of battery. Which inequality describes the problem? 6 + x < 18 6 +xs 18 Solve the inequality. Then, complete the sentence to describe the solution. Edna's phone can operate for up to more hours without running out of battery. Angle AOB is a central angle with a measure of 110 degrees.What is the measure of its arc AB? The two _____ are connected at the lower midpoint by the corpus callosum. What are three similarities between the English Bill of Rights and the U.S. Bill of Rights? Why is it important to evaluate the information we have gathered? Police officers break into a home unlawfully to look for evidence. This is an example of the violation ofA. substantive due process.B. the rights of the accused.C. procedural due process.D. the right of association. unit 2 pretest: Realizing dreams A traffic study has shown that the probability that 5 cars will pass over a small bridge in a 4-minute period is 0.16.What are the odds against exactly 5 cars passing over the bridge in that time? There are three different values of $N$ such that the mean of the five members of set $S$, where $S Which computers were the first PCs with a GUIMS-DOSLinuxWindowsMac A riot broke out in Chicago when a. George Wallace was nominated for president. b. Hubert Humphrey won the Democratic nomination for president. c. police officers moved in to stop the demonstration of antiwar protesters during the Democratic National Convention. d. Robert Kennedy was assassinated. Please select the best answer from the choices provided A. B. C. D Rob collects model planes one of his planes uses a sacks in which 1 inch represents 1. 5 feet if the length of the model airplane is 12 inches find the length of the actual airplane on feet By promoting perfume based on youth, style, and sex appeal, Calvin Klein is attempting to stimulate supply chain management cooperation. a. increase the perceived value of its products. b. encourage consumers to participate in product redesign. c. influence social norms regarding sexuality. d. demonstrate social responsibility. What are the Last two?