Express the following exponential functions in logarithmic form.


1. 10^8 = 100, 000, 000


2. 10^-4 = 0.0001

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

(1)

[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )

[tex]log_{10}[/tex] (100,000,000) = 8

(2)

[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )

[tex]log_{10}[/tex] (0.0001) = - 4


Related Questions

help me please please​

Answers

Answer:

11/14

Step-by-step explanation:

Have a nice day !!!

Answer:

its B, its 11/14

Step-by-step explanation:

Find the value of x.

Answers

Answer:

Step-by-step explanation:

The top left angle is 55 (alternate interior angles).

x + 100 + 55 = 180                     All triangles are made up of 180 degrees

x + 155 = 180                             Subtract 155 from both sides.

x = 180 - 155                              Combine

x = 25

Answer: x = 25°Step-by-step explanation:=> 55 + 100 + x = 180 [The '100' came into this equation because of vertically opposite angles.]=> 155 + x = 180=> x = 25°Conclusion:

Hence, 'x = 25°' is the value of 'x'

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

HELP!? ✋


What strategies help prevent cancer?

Select all that apply.

Question 8 options:

using sunscreen


avoiding tobacco


getting enough sleep


eating a healthy diet

Answers

All of them are strategies for preventing cancer

 the number of Significant Figures in 13410000 *​

Answers

Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhh

Answer:

4

Step-by-step explanation:

13410000

Sig Figs4

13410000

Decimals0

Scientific Notation1.341 × 107

E-Notation1.341e+7

Words thirteen million four hundred ten thousand

Clara is making a pennant. She attaches a rectangle that is 1 inch wide and 6 inches long to a triangle that has a base of 6 inches and a height of 28 inches. What is the area of the
pennant?

Answers

The area of the pennant made by Clara is 90 in²

Area

Area is the amount of space taken up by a two dimensional figure. It measures the quantity of space covered by the figure.

Area of the rectangle = length * width = 6 in * 1 in = 6 in²

Area of triangle = (1/2) * base * height = (1/2) * 6 in * 28 in = 84 in²

Area of the pennant = 6 in² + 84 in² = 90 in²

The area of the pennant made by Clara is 90 in²

Find out more on Area at: https://brainly.com/question/25292087

Answer:

90in^2

Step-by-step explanation:

Area of the rectangle = length times width = 6 x1 = 6 in^2

then the Area of triangle = 1/2 base times height = (1/2) x 6 x 28= 84 in^2

and the Area of the pennant is = 6 + 84 = 90 in

Step-by-step explanation:

Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}

Answers

x = 4.5 x = .5
Step-by-step explanation:
|2x - 5| = 4
The absolute value has two solutions one positive and one negative
2x-5 = 4 2x-5 = -4
Add 5 on each side
2x-5+5 = 4+5 2x-5+5 = -4+5
2x = 9 2x =1
Divide by 2
2x/2 =9/2 2x/2 = 1/2
x = 4.5 x = .5


A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:

Answers

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?

Answers

5% of 60$ is 3$. So sales tax is 3$. Total cost is 63$

4х + Зу = — 15
Зу = 2х + 3

Answers

Answer:

(- 3, - 1 )

Step-by-step explanation:

4x + 3y = - 15 → (1)

3y = 2x + 3 → (2)

Substitute 3y = 2x + 3 into (1)

4x + 2x + 3 = - 15

6x + 3 = - 15 ( subtract 3 from both sides )

6x = - 18 ( divide both sides by 6 )

x = - 3

Substitute x = - 3 into (2)

3y = 2(- 3) + 3 = - 6 + 3 = - 3 ( divide both sides by 3 )

y = - 1

solution is (- 3, - 1 )

I think this is the answer

which statement is true

Answers

Morgan earns more money per hour on Friday

Expand and simplify 2(3x – 5) + 3(2x + 3)

Answers

Answer:

hope it helps

..........

9x2+8x(5x-4) simplify

Answers

Answer:-14x + 40x² is the answer.Step-by-step explanation:9x(2) + 8x(5x - 4)=> 18x + 8x(5x-4)=> 18x + 40x² - 32x=> -14x + 40x²Conclusion:

Therefore, -14x + 40x² is the answer.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.

Answers

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

Answers

Answer:

x = 4343°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

A 7-pound bag of lollipops costs $12.18. What is the unit price?

Answers

Answer:

The unit price is 1.74$

Step-by-step explanation:

12.18 / 7

is 1.74

Answer=$1.74 since you do $12.18/7

Question 14 of 25
Does this graph show a function? Explain how you know.









O A. No; the graph fails the vertical line test.

O B. No, there are y-values that have more than one x-value.

C. Yes; the graph passes the vertical line test.

O D. Yes, there are no y-values that have more than one x-value.

Answers

Using the function concept, it is found that the correct option is:

C. Yes; the graph passes the vertical line test.

In a function, one value of the input can be related to only one value of the output. In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis). If it happens, it means that the graph passes the vertical line test.

In this graph, for each value of x, there is only one value of y, hence it passes the vertical line test, and option C is correct.

You can learn more about the function concept at https://brainly.com/question/12463448

given that a/b = 2/3 and b/c = 3/7 find A:B:C

Answers

Answer:

2:3:7

Step-by-step explanation:

a/b = 2/3

That gives us a clue that a=2 and b=3

But to make sure it states b/c = 3/7

So A:B:C is

2:3:7

Hope this helps!

Help me with this plzzzzzzzzz

Answers

Answer:Hi

Step-by-step explanation:

What does this equal 2(4+5) over 3

Answers

2(4+5) = 18
so 18/3 = 6

A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?

Answers

Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

Find the graph for the equation y=|x-3|-6?

Answers

Answer:

Step-by-step explanation:

Solve the quadratic equation by using a numeric approach.

0.02x squared + 0.5x - 4 = 0

a. x = 1.3 and x = -23.2
c. x = 5.6 and x = -32.3
b. x = 2.8 and x = -20.5
d. x = 6.3 and x = -31.3

Answers

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: https://brainly.com/question/25841119

Which statement is the correct interpretation of the inequality −4 > −5? (5 points)

Question 7 options:

1)

On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.

2)

On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.

3)

On a number line, −4 is located to the right of −5.

4)

On a number line, −4 is located to the left of −5.

Answers

Answer:

On a number line, -4 is located to the right of -5

Step-by-step explanation:

Answer:

On a number line, -4 is located to the right of -5.

Step-by-step explanation:

this is correct, also I don't take credit for it the person above me is the original. :)

Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.

Answers

Answer:

4.25 sq. ft

Step-by-step explanation:

l = 24

w = 0.5

h = 12

SA = 2lw + 2lh + 2wh

2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft

Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?

Answers

Answer:

1440

Step-by-step explanation:

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

also read similar questions: Solve the expression and find the value of x. [tex] \frac{x⁠…

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Can some one help me solve this x+3/2+3x/7 = 7

https://brainly.com/question/25742683

1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution

2. −k+_(k+1)=2k
make equation have no solution

Answers

Answer:

HOPE THAT HELPS BUT I DO NOT HAVE ANSWER

Step-by-step explanation:

3×2k=????

3×5=??

6×k=??

6×4=??

then put all those together in a 2 step equation and then add 9 to the answer

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

HELP ME OUT PLEASE!!!

Which function represents the relationship between x and y?

D) y = x - 2

C) y = x + 4

B) y = 2x

A) y = x + 2​

Answers

Answer:

The Answer is "A"

Step-by-step explanation:

x+2=y

Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company

Answers

Answer:

32

Step-by-step explanation:

A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?

Answers

Answer:

8 in

Step-by-step explanation:

because 4 x 2 = 8 inches squared

Answer:

8 inches²

Step-by-step explanation:

formula for the area of a rectangle is l x w

2 inches x 4 inches = 8 inches.

Area is written in  (unit)²

so, the area of the rectangle is 8 inches²

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