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
BabaBlast [244]
3 years ago
14

Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

Considering the given equation y = log_{3}x\\

And the ordered pairs in the format (x, y)

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For (\frac{1}{3}, a_{0} )

x=\frac{1}{3}

y=a_{0}

y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1

So the ordered pair will be (\frac{1}{3}, -1 )

For (1, a_{1} )

x=1

y=a_{1}

y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0

So the ordered pair will be (1, 0 )

For (3, a_{2} )

x=3

y=a_{2}

y = log_{3}x\\y = log_{3}3\\y = 1

So the ordered pair will be (3, 1 )

For (9, a_{3} )

x=9

y=a_{3}

y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2

So the ordered pair will be (9, 2 )

For (27, a_{4} )

x=27

y=a_{4}

y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3

So the ordered pair will be (27, 3 )

For (81, a_{5} )

x=81

y=a_{5}

y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4

So the ordered pair will be (81, 4 )

You might be interested in
The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.
poizon [28]

The answer is 78.5 you can get this by multiplying pi by the radius which is 5 then square it and you get 78.5

5 0
3 years ago
Read 2 more answers
HELP PLEASE THIS IS DUE IN 30 MIN PLEASE HELP URGENT
Oxana [17]

Answer:

12.5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the volume of the rectangular prism.<br><br> 3
12345 [234]

Step-by-step explanation:

How are we supposed to find volume if you don't enter the other elements I.e width, length and height?

But just in case the formulae for finding volume is to multiply is elements. So to find volume multiply is width, length and height.

6 0
1 year ago
The perimeter of the rectangle is 114 units. what's the length of 5x​
kotykmax [81]
22.8 I think because you divide them?? Idk
6 0
3 years ago
If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches?
timama [110]
The piece of ribbon would be 75 inches. The ribbon would be 75 inches because 1 foot would be 12 inches and you would multiply 12 by 6 to get 72. Then, 1/4 of a foot would be 3 inches because you could divide 12 and 4(the denominator you are dealing with) to get 3. Then, add 72 + 3 to get 75. Hope this helps!
5 0
3 years ago
Other questions:
  • You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way ho
    15·1 answer
  • Solve the problem as directed. The product of the base and height of a rectangle is the area. Can this statement be represented
    9·2 answers
  • What does x&lt;-3 look like on a line graph
    14·2 answers
  • How to write-x^2-x+4 in descending order
    13·2 answers
  • What the answer <br> 2x-3y=-1<br> y=x-1
    11·1 answer
  • A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
    11·1 answer
  • Jacob wanted to purchase a boat. The dealership offered the following payment terms for Jacob: an $800 down payment and $275 a m
    11·1 answer
  • Write the slope intercept form of the equation of each line
    13·2 answers
  • Solve for x ... please help
    5·1 answer
  • a weather balloon is released and reaches a maximum altitude of 5000 meters.A week later, the balloon is recovered at 3750 metwr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!