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
vladimir1956 [14]
2 years ago
6

PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater

ials and how the strength relates to the length. The data are represented by the exponential function f(x) = 2x, where x is the length. Explain how he can convert this equation to a logarithmic function when strength is 8 Pascals.
Mathematics
1 answer:
jarptica [38.1K]2 years ago
7 0

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

f(x) = 2^x

Express f(x) as y

y = 2^x

Swap the positions of x and y

x = 2^y

Take the logarithm of both sides

\log(x) = \log(2^y)

Apply the rule of logarithm

\log(x) = y\log(2)

Divide both sides by log(2)

y = \frac{\log(x)}{\log(2)}

Apply the change of base rule of logarithm

y = \log_2(x)

When the strength is 8 pascals, we have:

y = \log_2(8)

Express 8 as 2^3

y = \log_2(2^3)

So, we have:

y =3 \log_2(2)

Evaluate log 2 base 2

y =3

Hence, the logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

You might be interested in
Write an equation for the translation of y = |x|.
lana66690 [7]
B. To translate up or down the number must be outside of the absolute value bars
6 0
3 years ago
If <br><br><br> Plz help ASAP! Thank you
Licemer1 [7]

Answer:

hi

Step-by-step explanation:

hi

6 0
2 years ago
You have constructed wooden forms for pilings. The pilings are in the shape of rectangular solids, each measuring 10 ft. high an
Anna [14]
Volume V=3*10=30 feet³  -- > one <span>piling

10 </span>pilings----------------- > V=30*10=300  feet³

The answer is 300  feet³ of cement
3 0
3 years ago
Read 2 more answers
"Marina burns calories at a rate of 15 calories per minute when running and 6 calories per minute when walking. Suppose she exer
Schach [20]

15r means that she burns 15 calories per min, for as many mins as she ran.  EG: if she ran for 10 min, then she burned 150 cals.  The other one I'm not so sure.

3 0
3 years ago
Read 2 more answers
How to find degrees in triangle using trig?
nordsb [41]
Remember SOHCAHTOA

Sine- opposite/hypotenuse
Cosine- adjacent/hypotenuse
Tangent- opposite/adjacent

Look at the angle (x) you are trying to figure out and pick which one of these it is.

In your calculator, do the equation first to get a decimal

Then press whichever one you chose on the calculator, so if you got like 0.2 by doing opposite/adjacent for tangent, you would type in 0.2 and then the TAN button

hope this makes sense!!
8 0
3 years ago
Other questions:
  • A+b/a-b =5/3 what are the following ratios? a+b/a
    8·1 answer
  • Find the standard equation of a parabola with a vertex of (-3,1)
    8·1 answer
  • Raul opened a savings account with $3,500 . Each week , x , raul pays the dog sitter $25 from his saving account. Write a functi
    8·1 answer
  • How do I find the domain n range of this graph​
    12·1 answer
  • the standard normal curve shown below models the population distribution of a random variable. What proportion of the values in
    13·1 answer
  • A formula used to find missing length of a right triangle
    15·1 answer
  • "What is the probability that the first two cards drawn from a deck will be red? (With replacement)"?
    11·1 answer
  • Simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss​
    5·1 answer
  • How can you use ratios to determine if two figures are similar?
    5·1 answer
  • Help……………………. ……………………. ……………………. ……………………. ……………………. ……………………. ……………………. ……………………. ……………………. ……………………. ……………………. ……………………. …………
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!