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
fredd [130]
2 years ago
11

A teacher used the change of base formula to determine whether the equation below is correct.

Mathematics
2 answers:
Mademuasel [1]2 years ago
6 0

Answer:

The equation is correct

Step-by-step explanation:

The equation, written as:

[log_2 (10)][log_4 (8)][log_10 (4)] = 3

Consider the change of base formula:

log_a (x) = [log_10 (x)]/ [log_10 (a)]

Applying the change of base formula to change the expressions in base 2 and base 4 to base 10.

(1)

log_2 (10) = [log_10 (10)]/[log_10 (2)]

= 1/[log_10 (2)]

(Because log_10 (10) = 1)

(2)

log_4 (8)  = [log_10 (8)]/[log_10 (4)]

Now putting the values of these new logs in base 10 into the left-hand side of original equation to verify if we have 3, we have:

[log_10 (2)][log_8 (4)][log_10 (4)]

= [1/ log_10 (2)][log_10 (8) / log_10 (4)][log_10 (4)]

= [1/log_10 (2)] [log_10 (8)]

= [log_10 (8)]/[log_10 (2)]

= [log_10 (2³)]/[log_10 (2)]

Since log_b (a^x) = xlog_b (a)

= 3[log_10 (2)]/[log_10 (2)]

= 3 as required

Therefore, the left hand side of the equation is equal to the right hand side of the equation.

Amiraneli [1.4K]2 years ago
5 0

Answer:

B on E2020.

Step-by-step explanation:

You might be interested in
1,9,4,6,8,8 which is the median
vladimir1956 [14]
<h3>Answer:  Median = 7</h3>

=======================================================

Explanation:

Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}

Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.

The median is 7.

---------------

If you wanted, you could cross off the first and last items of the set

That means we go from {1,4,6,8,8,9} to {4,6,8,8}

Then repeat to get the smaller set {6,8}

This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).

4 0
2 years ago
Hey I really need help solving this question. Thank you in advanced!
SVETLANKA909090 [29]

Step-by-step explanation:

i think a is the answer of this question.

5 0
2 years ago
Any help would be great
zhannawk [14.2K]

Answer:

V = 137.2

Step-by-step explanation:

We are given the volume equation. Simply plug in your <em>r</em> into the equation and calculate and you should get 137.189 as your answer.

7 0
2 years ago
The variable in a relation who’s value depends on the value of the independent variable is called what?
Viefleur [7K]
That is called the dependent variable. It depends upon the value of the independent variable.

f(x)=y

So we can see by inspection that the dependent variable y value depends upon the input value of the independent variable x

Any questions please feel free to ask. Thanks
3 0
3 years ago
I need help with this plzzz
Advocard [28]
I think it is BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
3 0
3 years ago
Read 2 more answers
Other questions:
  • What value of x makes the following equation true?<br> -5x/4=- 40
    11·1 answer
  • A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 53 women ove
    6·1 answer
  • You mow 1/3 of the lawn. Your sister mows 2/7 of the lawn. What fraction of the lawn is mowed?
    5·2 answers
  • Mardi received an inheritance of $40,000. She invested part at 9% and the rest at 12%. Her total annual income from the investme
    14·1 answer
  • Find the distance between the points given.<br><br> (-10, 3) and (-10, 12)<br><br><br> 9<br><br> 15
    7·2 answers
  • An expression is shown. Help pls asap
    10·1 answer
  • 24+67-67+78/2+6-89-4​
    5·1 answer
  • Two brothers bought together 10 books. One brother bought four books. How
    5·2 answers
  • Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
    9·1 answer
  • A triangular bandana has an area of 78 square inches. The height of the triangle is 9 3 4 inches. Enter and solve an equation to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!