Which exponential equation is equivalent to the logarithmic equation below?
log 300 = a
A. 3000 = 10
B. a10 = 300
C. 100 = 300
D. 30010 = a

Answers

Answer 1

Answer:

[tex]\implies\boxed{ 10^a = 300 }[/tex]

Step-by-step explanation:

We are provided logarithmic equation , which is ,

[tex]\implies log_{10}^{300}= a [/tex]

Here we took the base as 10 , since nothing is mentioned about that in Question .

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{ 10^a = 300 }[/tex]


Related Questions

person who answers this WITH complete explanation, formula, AND correct answer will be marked BRAINLIEST...... pls answer:

2/5 x -3/7 - 1/6 x 3/2 - 1/4 x 2/5

Answers

The answer I got is -3/140 since you must multiply first, then subtract the fractions

maths equation : solve (2 - x)² < 4/25​

Answers

Answer:

8/5 < x < 12/5

Step-by-step explanation:

(2 - x)² < 4/25​

2 - x < ±2/5

2 - x < 2/5

-x < -8/5

x > 8/5

2 - x > -2/5

-x > -12/5

x < 12/5

Therefore, your answer is 8/5 < x < 12/5

6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths

live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to

San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the

Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the

Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is

North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from

their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to

Disneyland.

Answers

Answer:

The distance from Disney to the Golden Gate Bridge is 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  is 1,320 miles

The interior angle at The Golden Gate Bridge is 35°

The interior angle at Mall of America is 110°

The interior angle at Disney is 35°

The direction from Mall of America to Disney is South 30° East

Step-by-step explanation:

The bearing from Disney to the Golden Gate Bridge = North 65° West

The bearing from the Golden Gate Bridge to the Mall of America = North 80° East

The bearing from Disney to the Mall of America = North 30° West

The distance from Disney to the Mall of America = 1,320 miles

Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively

From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C

Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°

The interior angle at B = The bearing of C from B - The bearing of A from B

∴ The interior angle at B = 65° - 30° = 35°

B = 35°

∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle

The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°

CA = AB = 1.320

By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56  miles

a = CB = 2,162.56 miles

Therefore, we have;

The distance from Disney to the Golden Gate Bridge = 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  = 1,320 miles

The interior angle at The Golden Gate Bridge = 35°

The interior angle at Mall of America = 110°

The interior angle at Disney = 35°

The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°

∴ The direction from Mall of America to Disney = South 30° East

Need help due in 30 mins Find the area of each. Round to the nearest tenth. Do not include units in your answer (ie. ft, in, km, etc)(triangle-FR)
Your answer

Answers

Answer:

1)

Triangle formula:

A = 1/2bh

A = 1/2(3)(5.9)

A = 8.85

2)

Parallelogram Area:

A = bh

A = (8.9)(6)

A = 53.4

Which amount is largest?

1 kg
1 dg
100 g
1,000 mg

Answers

1 kg is the biggest.

Answer:

1 kg here you go this is the answer

(4c+3)+(5b+8) simplify this answer

Answers

Answer:

4c + 5b + 11

Step-by-step explanation:

4c + 3 + 5b + 8

4c + 5b + 11

PLEASE NEED HELP!!!
The wheel of a bicycle has a diameter of 54 inches. How far does the bicycle travel when the wheel completes 20 revolutions?

Answers

Circumference = 2piR= 2(Pi)(27)

Distance travelled is the circumstance multiplied by the 20 revolution:

Distance = 2(Pi)(27)(20)= 3 392.92 inches

Show me the work to 4x-4<8 and 9x+5>23. The answer is already shown. (Geometry )

Answers

Answer:

transpose -4 to left

and 5 to left

subtract and and after transpose you will have a sign change

then you can divide

12/4,18/9

so,

x<2,x>3

in triangle ABC with the right triangle at vertex C, sin a=35/7

Answers

0_0 I’m a baddie with a fattie

Explain the characteristics of authoritarianism and identify two central Asian countries that have this type of government.

Answers

Answer:

Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.

Answer:

. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

*Pew Pew*

Step-by-step explanation:

(450) + (28.75x) = 967.50
solve for x

Answers

Answer:

x=18

Step-by-step explanation:

Answer:

x= 18

Step-by-step explanation:

To solve this equation you have to work backwards

Start by dealing with the numbers that we know:

450 + (28.75 × x) = 967.5

-450                          -450

28.75x = 967.5

(when a number and a letter in mathematics are next to each other they are multiplying)

Now divide to find the value of x:

967.5 ÷ 28.75 = 18

18 is the value of x

find the corresponding point to the function​

Answers

Answer:

If you begin with the graph for f(x) and then substituted x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

Step-by-step explanation:

hi guys! i need help with this question 5.2 x 3/2

Answers

Answer:

7. 8 I think (typing more for the limit)

Answer:

7.8

Step-by-step explanation:

Write a polynomial of least degree with roots 2 and – 7

Answers

Answer: x^2+5x-14

Step-by-step explanation:

2 and -7 are the roots of the polynomial then we have to write them as

 x=2 ,x=-7

To convert these as factors, we have to write them as

(  x-2) (x+7)

The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.

x^2+7x-2x-14

x^2+5x-14

Number of factors  =  Highest exponent of the polynomial

Answer:

y = x² + 5x - 14

Step-by-step explanation:

Given roots x = a, x = b, then the corresponding factors are

(x - a) and (x - b) and the polynomial is the product of the factors

y = (x - a)(x - b)

Here the roots are x = 2 and x = - 7, then the factors are

(x - 2) and (x - (- 7)) = (x + 7), so

y = (x - 2)(x + 7) ← expand using FOIL

y = x² + 5x - 14

Jason wants to create a box with the same volume as the one shown below. He wants the length to be 4
inches. What would be the measurements of the width and height?
Length: 4 inches
Width: inches
Height: inches
Explain how you determined the width and height.
- cubic inch

Answers

Given : jason wants to create a box with the same volume as the one shown

To find : measurements of width and height .

Solution :

Volume of given box

=> 6 * 2 * 3

=36

length to be 4 inches .

lwh = 36

=> 4 wh = 36

=> wh = 9

9 = 1 * 9

9 = 3 * 3

Width and Height can be 3 inches each or 1 and 9 inches

Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
 

Answers

Answer:

1,500

Step-by-step explanation:

Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythagorean triples. If Andrea picks a value of x = 2, and the hypotenuse of the resulting right triangle is 5, what natural number value of y did Jack pick?

y = 1
y = 4
y = 2
y = 3

Answers

Answer:

I think the answer could be y=3 or y=2

it could be something else tho im sorry

Answer:

y=2

Step-by-step explanation:

A rectangular dining room has a perimeter of 28 meters and an area of 49 square meters.
What are the dimensions of the dining room?

Answers

The dimensions of the dining room is 7by 9

What's the equation to use to solve x?

Answers

Total Speed = total distance/total time
= 290/2
= 145km/hr
145-15=x
= 130km/hr

He points (2, -3) and (2,5) represent the locaons of two towns on a coordinate grid, where 1 unit is equal to 1 mile. What is the distance, in miles, between the two towns?

Answers

Answer:

Distance between the points is 8 miles.

Step-by-step explanation:

Distance between tow points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between the given points (2, -3) and (2, 5) will be,

Distance = [tex]\sqrt{(2-2)^2+(-3-5)^2}[/tex]

               = 8 units

Since, 1 unit = 1 mile

Therefore, distance between these points will be 8 miles.

HELP I WILL MARK BRAINLIEST

Answers

Answer:

the answer is A.

Step-by-step explanation:

The answer is A I’m pretty sure

Find the x-intercept and
the y-intercept from the
following linear equation:
4x + 7y = 28
X-intercept ([?], [ 1)
y-intercept ([ 1, 1)

Answers

Answer:

         X-intercept: (7, 0)          Y-intercept: (0, 4)

Step-by-step explanation:

X-intercept means y-coordinate of 0:

4x +7×0 = 28

 4x = 28

   x = 7         ← x-coordinate

Y-intercept means x-coordinate of 0:

4×0 +7y = 28

 7y = 28

   y = 4         ← y-coordinate

List three examples of aa variable costs​

Answers

Answer:

utility cost, direct labor costs, cost of raw materials used in production

Given the data 21, 13, 13, 37, 13, 23, 25, 15: What is the outlier in the data? What is the mean with the outlier? What is the mean without the outlier? A. 13; 21; 17.6 B. 37; 20; 17.6 C. 37; 17.6; 20 D. 13; 17.6; 21

Answers

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. The outliner in this problem is 37. The mean with the outliner is 20 and 17.6 with out it,therefore the answer is B

I need help with this problem

Answers

Answer:

3

Step-by-step explanation:

4x-6=x+3

3x=9

x=3

substitute the two equations in for each other because they both equal x.

The Martins’ van can hold up to 8 passengers. Debbie writes the inequality p < 8, where p is the number of passengers that can fit in the van. Select the choice that provides the best explanation for Debbie’s error and the correct answer in this case. Debbie should have used 8p because 8 passengers can fit in the van. The correct inequality is 8p < 1. Debbie should have switched the inequality symbol to greater than. The correct inequality is p > 8. Debbie should have included 8 as a possible choice. The correct inequality is p < 9. Debbie should have used the not equals sign to compare the two sides of the inequality. The correct answer is p ≠ 8.

Answers

Answer:

Debbie should have included 8 as a possible choice. The correct inequality is p < 9.

Step-by-step explanation:

Given

Passengers = Up to 8

Required

Determine why [tex]p < 8[/tex] is incorrect and make corrections

The inequality [tex]p < 8[/tex] means that the van can hold less than 8 passengers.

To make correction, the digit 8 has to be included in the inequality.

This can be written as:

[tex]p <9[/tex] or[tex]p \le 8[/tex]

Base on the given options, option (c) best answered the question.

which properties are being used to solve the question

Answers

Answer:

Both commutative and associative

3. A runner sprints 50 ft each day for 7 days. How many inches does she sprint during this week? (Again please hurry)

Answers

Answer: The runner will sprint 4,200 inches during this week

Step-by-step explanation:

50 * 7 = 350

350 * 12 = 4200

Answer:

It's 4200in

in feets its 350ft

Step-by-step explanation:



16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.

Answers

Answer:

9.5 seconds.

Step-by-step explanation:

We know that the equation that represents the height of the penny as a function of time is:

h(t) = -16*t^2 + 1451

Where the height is in ft, and the time is in seconds.

a) We want to know how long takes the penny to hit the ground.

Well, the penny will hit the ground when its height is equal to zero.

Then we need to solve for t:

h(t) = 0 = -16*t^2 + 1451

0 = -16*t^2 + 1451

16*t^2 = 1451

t^2 = 1451/16 = 90.7

t = √90.7 = 9.5

This means that it takes 9.5 seconds to hit the ground.

Answer:9.5 seconds

Step-by-step explanation:you subtract

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