1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ahat [919]
3 years ago
9

Algebra 2 Logarithms Problem!!! Pls explain how you did the work for all parts-- i will give brainliest!!!!!

Mathematics
1 answer:
monitta3 years ago
5 0

Answer:

<u>Given</u>

  • log₃ 20 = x and log₃ 2 = y

<u>Properties used</u>

  • <em>log ab = log a  + log b</em>
  • <em>log a/b = log a - log b</em>
  • <em>log aᵇ = b log a</em>

a)

  • log₃ 400 = log₃ (20)² = 2 log₃ 20 = 2x

b)

  • log₃ 80 = log₃ (20*4) = log₃ 20 + log₃ 4 = log₃ 20 + 2log₃ 2 = x + 2y

c)

  • log₃ 40 = log₃ (20*2) = log₃ 20 + log₃ 2 = x + y

d)

  • log₃ 10 = log₃ (20/2) = log₃ 20 - log₃ 2 = x - y
You might be interested in
Find the value of y. For 10 and 12
Dvinal [7]

Answer:

10.y=22 degrees

12.y=14 degrees

Step-by-step explanation:

7 0
3 years ago
By use of technology, we investigated Mary’s investment and created the model, M(x) = 3.03(1.28)2x, in thousands of dollars. Wha
Vinvika [58]

Using an exponential function, it is found that Mary's initial investment was of $3,030.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x.

In which:

  • a is the initial value.
  • b is the rate of change.

Her investment model, in thousands of dollars, is:

M(x) = 3.03(1.28)^{2x}

Then a = 3.03, since we measure the amount in thousands of dollars, Mary's initial investment was of $3,030.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

7 0
2 years ago
Fill in the blank to make sure the two fractions equivalent.<br><br> /30 = 4/5
SOVA2 [1]

Answer:

24/30 = 4/5

Step-by-step explanation:

take x

x/30 = 4/5

x = 4/5×30

5x = 30×4

x =( 30×4)/5

x = 6 × 4

x = 24

4 0
3 years ago
Read 2 more answers
How to find the surface area of a triangular prism without square root?
Contact [7]
<span>The nice thing about prisms is that the matching end pairs make it easy to determine a lot of the individual measurements without having to solve for anything. Any measurement that is given for one of the end shapes (ex. height of the triangle, radius of the circle) also applies to the matching shape at the other end. Moreover, if you know the length of one side of the prism, you know the length of all the sides. Distribute these numbers as necessary around your prism to see what you have to work with.</span>
7 0
3 years ago
Read 2 more answers
In 2003, the population of an African country was about 7.8 million people, which is 1 million more than 4 times the population
Over [174]
The population in 1950 was 1.7 million if that’s what you were asking
7 0
4 years ago
Read 2 more answers
Other questions:
  • Line L is perpendicular to the line with equation x + 2y = 8 and passes through the origin. Determine the equation of line L.
    15·2 answers
  • Danielle is a realtor. She receives a salary of $500 per month plus a 6% commission on each house the she sells. Which represent
    14·1 answer
  • Solve solution set for xy=36 and 3x-y=-3
    7·1 answer
  • What is the volume of a pyramid with slant height 25ft and base edges 14ft?
    7·1 answer
  • A cat spends about 7 out of 10 hours sleeping. About what present of the cats day is spent sleeping
    7·1 answer
  • Please answer this correctly without making mistakes
    6·1 answer
  • The square root of 68
    11·1 answer
  • Please help ASAP. And can you please explain how you got the answers. Will give 100 points.
    14·1 answer
  • Kara is sorting buttons by length for a craft project.The line plot shows of each button.If kara lines up all the 3/4 inch butto
    13·1 answer
  • WILL GIVE BRAINLIEST <br> Which of the following represents a function
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!