Which logarithmic equation is equivalent to the exponential equation below?
67.21 = ea
A. In a = 67.21
B. loga 67.21 = 2.43
C. lo967.21 2.43 = e
O D. In 67.21 = a

Answers

Answer 1

Answer:

[tex]log_e^{67.21}= a[/tex]

Step-by-step explanation:

The equation is ,

[tex]\implies 67.21 = e^a [/tex]

Here e is the Euler's Number . The log which are defined on the base e are called Natural logarithms.

Say if we have a expoteintial equation ,

[tex]\implies a^m = n [/tex]

In logarithmic form it is ,

[tex]\implies log_a^n = m [/tex]

Similarly our required answer will be ,

[tex]\implies\boxed{ log_e^{67.21}= a }[/tex]


Related Questions

The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes? PLEASE ANSWER WILL GIVE BRAINLEST. please..

Answers

Answer:

1,296 FT2

Step-by-step explanation:

Answer:

i tried every way possible and none of the have the same answer as the solutions i made BUT, all of my answer were the closest to 216 so i would guess that one

Step-by-step explanation:

Sorry if i was wrong, i tried my best but i didnt get any of those answers

How do I find the point of intersection?

Answers

Answer:

(-1 3/5, 2 3/5)

Step-by-step explanation:

Red Line:

m = 3-(-1)/-2-2 = 4/-4 = -1

b = 1

equation:  y = -x + 1

Blue Line:

m = 5-1/2-(-4) = 4/6 = 2/3

find 'b':

5 = 2(2/3) + b

15/3 = 4/3 + b

b = 11/3

equation:  y = 2/3x + 11/3

Find Point of Intersection:

-x + 1 = 2/3x + 11/3

multiply each side by 3 to get:

-3x + 3 = 2x + 11

-5x = 8

x = -8/5

find 'y':

y = -(-8/5) + 1

y = 8/5 + 1 = 13/5

y = 2 3/5

Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15%
off. What was the sale price?

Answers

Step-by-step explanation:

100-15=85%

85% × 29.99

=$25.49

What is the area A B C or D

Answers

Answer:

         D.

Step-by-step explanation:

[tex]A=\frac{40^o}{360^o}\cdot \pi\cdot 10^2=\frac19\cdot100\pi=\frac{100}9\pi\, cm^2[/tex]

Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Answer:

The measure of the side [tex]QR[/tex] is 8.8.

Step-by-step explanation:

Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:

[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio.

If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:

[tex]k = \frac{OL}{SP}[/tex] (1b)

[tex]k = \frac{55}{13}[/tex]

[tex]k = \frac{MN}{QR}[/tex]

[tex]QR = \frac{MN}{k}[/tex] (1c)

[tex]QR = \frac{37}{\frac{55}{13} }[/tex]

[tex]QR = 8.745[/tex]

The measure of the side [tex]QR[/tex] is 8.8.

Given m and n are parallel lines, t is a transversal
crossing both m and n, and m48 = 100 degrees,
what is the measure of 3?

Answers

Answer:

they would measure 74 meters

SOMEONE PLS HELP IM CONFUSED , WILL MARK BRAINLIEST

Answers

Answer. multiply 13 and 64 then round to the nearest tenth

Step-by-step explanation:

I hope it helps :)


solve for n: 3 x n = 2 x 9

Answers

Answer:

n = 6

Step-by-step explanation:

3 x n = 2 x 9

2 x 9 = 18

3 x n = 18

divide by 3 on both sides:

n = 6

hope this helped :)

What is the area of sector GPH?
The area of sector GPH is
=____square yards.

Answers

Answer:

sector GPH = 16π yd²

Step-by-step explanation:

area of full circle = πr² = (π)(12²) = 144π yd²

area of 40° segment = (40/360)(144π) = 16π yd²

will mark brainlist + 30 points .. please help asap!!

This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]

Answers

Answer:

is 20 is your answer I believe

Answer:

p=2/20

p=1/10

the probability that a teenager has exactly 2 pairs of shoes is 1/10

1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?

2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?​

Answers

Answer:

1. 93 m is the length of the rectangular garden.

2. The width of the window is 72 cm.

Step-by-step explanation:

A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

567 miles

Step-by-step explanation:

we break down how many miles he went in 1 hour

315/5

he went 63 miles in 1 hour

times this by 9 is 567 miles in 9 hours

Answer:

567 milesStep-by-step:we break down how many miles he went in 1 hour 315/5 he went 63 miles in 1 hour times this by 9 is 567 miles in 9 hours

Step-by-step explanation:

Just a few more, help??????????

Answers

Answer:

53

Step-by-step explanation:

complementary angle meaning it needs to have the whole sum of 90 degree.

90-37=53


Given the triangle
find the length of side 2 using the Law of Sines.

Answers

After much work and 12 pages of notebook paper the answer is 28

GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?

Answers

Answer:

0.93

Step-by-step explanation:

this is the correct answer you want please follow me and make me brainlist

If x^2 =2” what is the value of x

Answers

Answer:

solution given:

x²=20

x=±√20 is your answer

Answer:

2

Step-by-step explanation:

[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]

What is the volume of the prisms

Pls help me im dying

Answers

Answer:

C.  3240 cm³

Step-by-step explanation:

Volume formula is:

V = Bh

Find base area first:

B = 6*1/2*12*10 = 360 cm²

Find the volume:

V = 360*9 = 3240 cm³

Correct choice is C

Find the value of x to the nearest tenth. In a triangle, one angle is 46 degree and second angle is 20 degree. The adjacent side of 46 degree angel is 7 and opposite side is x.

Answers

The value of x in the triangle is approximately 7.2 to the nearest tenth.

To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).

We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

tan(46°) = x/7

Take the tangent of both sides of the equation:

tan(46°) = x/7

Multiply both sides by 7 to isolate x:

7 x tan(46°) = x

Use a calculator to find the tangent of 46 degrees:

tan(46°) ≈ 1.0355

Multiply 7 by the approximate value of the tangent:

7 x 1.0355 ≈ 7.249

Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.

Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ4

The value of x to the nearest tenth is approximately 5.0.

To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.

Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.

sin(A) = C / B

sin(46°) = x / 7

To find the value of x, we can rearrange the equation:

x = 7 * sin(46°)

Using a calculator, we can evaluate sin(46°) and calculate the value of x:

x ≈ 7 * 0.7193

x ≈ 5.0351

for such more question on right triangle

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Pedro is ordering a scoop of ice cream. For the flavor, he is given the option of chocolate,
strawberry, or vanilla. For the size, he is given the option of small, medium, or large. For the
cone, he is given the option of a sugar cone, waffle cone, or cup. How many possible order
combinations are there?

Answers

Answer:

Hope this helps :D

The answer is 27(If i`m not mistaken)

Answer:

27 combinations

Step-by-step explanation:

There are options:

Flavor = 3Size = 3Cone = 3

Number of  possible combinations:

3*3*3 = 27

Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.

Answers

Answer:

$10,000= sales

Step-by-step explanation:

Giving the following information:

Commission rate= 6%

Desired total earnings= $600

To calculate the sales level required to reach the objective, we need to use the following formula:

Desired earning= commission rate*sales

600= 0.06*sales

600/0.06= sales

$10,000= sales

What is the slope of the line on the graph

Answers

the answer to this question is 3,3

Answer:

slope of the line(m) =(y2-y1)/(x2-x1)

or, m=(16-10)/(6-3)

or, m=6/3

So, m=2

(I’ll mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course. The only tool available to record the distance measures in feet. If the course must be at least 3 miles but no more than 3.2 miles in length, what is the smallest and the largest number of feet they must walk in order to fulfill the requirements?

1 mile 5,280 feet.

Smallest:

Largest:

Answers

Answer:

Smallest: 15,840 ft

Largest: 16,896 ft

Step-by-step explanation:

1 mi = 5,280 ft

Setup proportion to solve for the smallest:

[tex]\frac{1mi}{5,280ft} =\frac{3mi}{xft}[/tex]

Do butterfly method and you should get this:

[tex]xft=3(5280)\\x=15,840ft[/tex]

Setup proportion to solve for the largest:

[tex]\frac{1mi}{5,280ft} =\frac{3.2mi}{xft}[/tex]

Butterfly method:

[tex]xft=3.2(5280)\\x=16,896ft[/tex]

please help
Mofor and Shanice are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mofor sold 12 small boxes of oranges and 3 large boxes of oranges for a total of $96. Shanice sold 6 small boxes of oranges and 6 large boxes of oranges for a total of $84. Find the cost each of one small box of oranges and one large box of oranges.​

Answers

Answer:

$6 = cost of small box

$8 = cost of large box

Step-by-step explanation:

Let s = cost of small box

     l  = cost of large box

(1)    12s + 3l = 96            (2)     6s + 6l = 84

    Multiply by -2                     -24s - 6l = -192

                                                -18s   = - 108

                                                     s = $6 = cost of small box

      12(6) + 3l = 96

         72 + 3l = 96

                 3l = 24

                   l = $8 = cost of large box

what does the picture represent?

Answers

Answer:

This is not a mathematics question. You should post this in History instead

Step-by-step explanation:

Answer:

During the civil war some tried to tear the country into 2, the north and the south. While the person on the middle is trying to keep the country together.

Which equation represents the relationship between s and t? A. s=1/7t B. s=7t C. s=t+2 D. s=t+18

Answers

Answer A

Step-by-step explanation: 2+2=22-55= -12-5= -7 then take away the negative then look outside and u should see a tree. Your final answer should be s=1/7t

A fish tank holds 25 gallons of water. How many quarts of water does the fish tank hold?

Answers

Answer:

100 gallons

Step-by-step explanation:

so 1 gallon equals 4quarts multiply that by 25 you get 100 so there you go


A survey of a random sample of juniors shows that 12% are not planning to attend homecoming, and 88%
are planning to attend. The survey has a margin of error of t8%. What is the range for the percentage of juniors who are
going to homecoming?
F 4% to 20%
G 4% to 12% H 80% to 96%
J. 4% to 96%

Answers

Answer:

i would guess

Step-by-step explanation:

WHATS TYE ANSWER TO ALL OF THESE! I NEED TO KNOW ASAP! PLEASE!​

Answers

Answer:

[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]

PLS HELP!!
Find the length of AB.

Answers

Answer:

About 9.4 units

Step-by-step explanation:

Help! I’ll give brainliest!

Answers

Answer:

d) -2

Step-by-step explanation:

(-1 - 19)/(16 - 6)

-20/10 = -2

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