What is the true solution to the equation below?
2 In eln2x - In eln 10x = In 30
X = 30
X= 75
X = 150
X=300

Answers

Answer 1

Answer:

x = 75 hope this helped

Step-by-step explanation:

Answer 2

The true solution to the equation is,

⇒ x = 75

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ [tex]2 ln e^{ln2x} - ln e^{ln10x} = ln 30[/tex]

Now, We can simply as;

⇒ [tex]2 ln e^{ln2x} - ln e^{ln10x} = ln 30[/tex]

⇒ 2 ln 2x - ln 10x = ln 30

⇒ ln (2x)² - ln 10x = ln 30

⇒ ln (2x)² / 10x = ln 30

⇒ 4x² / 10x = 30

⇒ 4x = 300

⇒ x = 75

Thus, The true solution to the equation is,

⇒ x = 75

Learn more about the mathematical expression visit:

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Related Questions

Alex rents a car for one day the charge is $28 plus $0.50 per mile Alex wants to spend exactly $30 how many miles can he drive

Answers

Answer:

4 miles

Step-by-step explanation:

Let the miles is x:

28 + 0.5x = 300.5x = 30 - 280.5x = 2x = 2/0.5x = 4

It seems incorrect but Alex can drive 4 miles

work out the circumference of a cirlce with a diameter of 1.8m

Answers

Answer:

5.56 m

Step-by-step explanation:

Circumference = 2πr

r is the radius, however the diameter is given. The radius is half the diameter. So the radius is:

1.8 ÷ 2 = 0.9

Circumference = 2 × π × 0.9

= 5.56 m ( in 3 significant figures )

HELP ASAP 10 POINTSS

Answers

Answer:

hi the answer is 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Two opposite numbers are 4 units away from each other. What are the numbers?

Answers

Answer: 2 & -2

Step-by-step explanation: it takes 2 units to get to 0 and then 2 more to get to -2  

The bill for dinner totaled $56 before tax and tip. The restaurant added a 6 percent sales tax. If Sandra wants to include a 16 percent tip calculated on the bill before sales tax is added, what is the total cost of the dinner?
$59.36
$64.96
$68.32
$68.86

Answers

68.86 Take the bull total 56 multiply .06 and you get 59.36. Multiply 59.36 x .16 and you get 68.86

AKS 19 -- Dan is driving with an average speed of s. He is driving a total distance of d. What formula represents the total time of his trip? Question 2 options: t=ds t = d s t=ds t=d-s t=sd

Answers

Answer:

[tex]t=\dfrac{d}{s}[/tex]

Step-by-step explanation:

Dan is driving with an average speed of s. He is driving a total distance of d.

The average speed of an object is given by :

Average speed = total distance/total time

Let b the time of his trip

So,

[tex]s=\dfrac{d}{t}\\\\or\\\\t=\dfrac{d}{s}[/tex]

So, the formula for the total time of his trip is [tex]\dfrac{d}{s}[/tex].

I really need help pls help me plz and pls answer it correctly with explanation.

Answers

Answer:

B

Step-by-step explanation:

The only diagram representing a function is B.

All the others fail rhe vertical line test. Each of the x values should have one y value assigned.

No I’m kidding lol I’m kidding bro I


What is the approximate area of the shaded sector?
A. 38 cm2
B. 96 cm2
C. 302 cm
D. 603 cm?

Answers

Answer:

C. [tex] 302 \: {cm}^{2} [/tex]

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{135 }{360 } \times 3.14 \times {(16)}^{2} \\ \\ = \frac{108,518.4 }{360 } \\ \\ = 301.44 \\ \\Area \: of \: sector \approx \: 302 \: {cm}^{2} [/tex]

what is the value of x in simplest radical form?

Answers

Answer:

25

Step-by-step explanation:

For these types of problems you'll need the Pythagorean theorem (woohoo..). This amazing formula looks like: a^2 + b^2 = c^2. The a and b in this formula are the legs of the triangle, the straight non-diagonal lines. The c stands for the hypotenuse which is the diagonal line.

Since you have both of the legs we can go ahead and plug that into our equation: 15^2 + 20^2 = c^2.

NOTE: It doesn't matter which leg you plug into which variable! Just make sure it's not c!

With exponents, it just means to multiply the number by itself. 15^2 is the same as 15(15). So, simplifying the equation, we get: 225 + 400 = c^2.

This part is pretty straightforward. I mean, unless you don't remember addition... Adding it together, you will get 625 = c^2.

This part kinda requires a calculator if you don't know all of your square roots. Luckily, this is a perfect root and goes into 25.

And that, my friend, is your answer. Hope this helped :)

What is the perimeter of a square whose area is 289 square feet?
A. 17 feet
B. 48 feet
C. 68 feet
D. 73 feet

Answers

Answer:72.25

Step-by-step explanation:

write an equation of the line that passes through the point (0,3) and whose slope is 2

Answers

Answer:

y - 2x = 3

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h), with h = 0, k = 3 and m = 2:

y - 3 = 2(x - 0), or

y - 3 = 2x, or

y - 2x = 3

Note that the given point, (0, 3), is the y-intercept of this line, and so we immediately know b in y = mx + b:  it is 3.

can anyone help me on this question?

Answers

i would love to. it would be 41° because 90+49=139 180-139=41

Answer:

m∡2 = 41°

Step-by-step explanation:

m∡2 = 180 - (90 + 49) = 180 - 139 = 41

Algebra help!




If you can also explain that would be appreciated!! If not that's totally okay I just really need the help!!​

Answers

Answer:

We have the value as;

8x/5

Step-by-step explanation:

Here, we want to get the breakdown of the given expression

We have (x^2 - 9) as (x-3)(x + 3)

So we have;

2x/(x + 3) * (x-3)(x+3)/5 * 4/(x-3)

= 2x * 4/5= 8x/5

detrermine weather the table represents an exponential growth function, and exponential decay function, or neither... PLEASE HELP!! BRAINILEST

Answers

Answer:

The y values are decreasing, I would say it's decay.

PLEASE HELP!! ill give you 20 points ​

Answers

Step-by-step explanation:

Can anyone help me with this?

Answers

Answer:

D

Step-by-step explanation:

you need to divide by 2. And you need to simplify a fraction.

Look at the question below.

Answers

D because they all have x to makes like terms

If a $10.00 pizza is marked up by 10% twice, what will be the new price of
the pizza?

Answers

Answer:

$12.10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Trust me & Hope I helped!

GL :)

Pls help meee I’m stuck in this question

Answers

Answer:

I think it is orange .......

Answer: Cherry I think

Step-by-step explanation:

Jim gives the cashier a $20 bill at the pharmacy.


Write an equation that relates the change c he gets back in dollars to the cost b, in dollars, of his purchases. Which variable represents the independent variable? How much change does he get back if his purchases total $12.83?

Answers

Answer:

b= 12.83

c= 7.17

Variable "c" is independent because it does not change. Jim receives $7.17 back.

The letters in the word JANUARY were put in a bag and drawn randomly. What is the probability of picking an a?

Answers

Answer: 2/7

Step-by-step explanation:

There are 7 letters in January, and 2 "a"s in order to find the probability, simply take 2/7. You can either leave it in the fraction form, or use the calculator, showing you have a 0.2857% chance of picking an "a"

2/7

there are 7 letters in jAnuAry and as you can see there are 2 A's so there is a 2/7 chance which is higher of a chance than the rest of the letters which are 1/7 each so it is most likely you would draw A although I can't fully say that because there is a 5/7 chance of drawing the other letters. Another way to say it is there is a 0.28571428571% chance of drawing A but there is a 0.71428571428% chance of drawing any other letter.

                Hope this helps :3

                              Have a good day!

a number is multiplied by 4 and then 12 is added. the result is 36. what is the number?

Answers

Answer:

6

Step-by-step explanation:

4 * x + 12= 36

          -12  -12

4x = 24

x= 6

Answer: 6

Step-by-step explanation:

The equation will look like this

n(4)+12=36

n=6

6(4)+12

24+12

36

8. Which fraction is equivalent to 3? *
O 3/2
O 6/2
O 6/3
O 912

Answers

Answer:

6/2

Step-by-step explanation:

6 divided by 2 =3

Answer:

I will be 6/3

Step-by-step explanation:

If you divide the 6/3 it will be 3/1

Make sure to divide it by 3

Find the area of the shaded region.
(150°
6 cm
A-[?] cm2
Enter a decimal rounded to the nearest tenth.

Answers

Answer:

It's 38.1

Step-by-step explanation:

I'm not the best at explaining these type of things but I hope this helps you out

Someone plz help me giving brainliest

Answers

Step-by-step explanation:

you will have 100% * 60 = X * 80 so X = 100% * 60/ 80

Answer:

75

Step-by-step explanation:

The answer is attached. I hope you are able to understand and it helps you. If you have doubt you can ask, I will repost the answer with proper explanation.

Anyone know how to solve this? Im losing brain cells

Answers

Answer and Step-by-step explanation:

The answer is A.

y = x + 2 and y = -2x + 4

This is because:

- The graph going from left to right matches the first equation, in which the graph has a slope of 1 and has a y-intercept at (0, 2).

- The graph going from right to left matches the second equation, in which the graph has a slope of -2 (Since it is going from right to left), and has a y-intercept at (0, 4).

#teamtrees #PAW (Plant And Water)

Use four unit multipliers to convert 170 square yards to square inches The perimeter of a square is 64 inches ​

Answers

Did you know u can use a tutor on this app it’s very helpful :)

Find the area. Answer ASAP pls pls

Answers

Answer:

57.4

Step-by-step explanation:

The diameter of a circle is 0.82 inches. What is the approximate area of the circle?​

Answers

Answer:

.53

Step-by-step explanation:

your diameter is .82,so divide it by two to get your radius

.82 / 2 = .41

A = [tex]\pi[/tex] r ^2

A = [tex]\pi[/tex] .41 ^2

A = .53

Answer:

0.53

Step-by-step explanation:

The floor of a cargo truck is 22 1/2 square feet. What is the volume of the storage space in cubic feet if the truck is 7 1/5 feet high? Show, label, and explain your work.

Answers

Answer:

162 ft^3

Step-by-step explanation:

volume = area of base * height

V = 22 1/2 ft^2 * 7 1/5 ft

Change the mixed numerals into fractions.

V = 45/2 ft^2 * 36/5 ft

Multiply the fractions.

V = 45/2 * 36/5 ft^3

Switch the denominators.

V = 45/5 * 36/2 ft^3

Simplify each fraction.

V = 9 * 18 ft^3

V = 162 ft^3

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