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
iris [78.8K]
3 years ago
8

What logarithmic function represents the data in the table? x f(x) 25 2 125 3 625 4

Mathematics
2 answers:
Ray Of Light [21]3 years ago
6 0
\bf recall\\\\
log_{{  a}}{{  b}}=y \iff {{  a}}^y={{  b}}\qquad\qquad 
{{  a}}^y={{  b}}\iff log_{{  a}}{{  b}}=y \\\\
-----------------------------\\\\
thus\qquad 
\begin{array}{cc|llll}
x&y&5^y=x\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
25&2&5^2=25\\
125&3&5^3=125\\
625&4&5^4=625\\
\end{array}
\\\\\\
\textit{so hmmm what would that be in log notation? }\  5^y=x \iff \boxed{?}
Hitman42 [59]3 years ago
5 0

Answer:

f(x) =log_5 x

Step-by-step explanation:

Here f(x)   =2 when x = 25 that is 5^{2}

        f(x) = 3  when x = 125 that is 5^{3}

       f(x) = 4 when x =625 that is 5^{4}

   f(x) =log_5 x

here we can see that each value is exponent of 5

therefore function must be log function with base 5

so it is  f(x) =log_5 x

You might be interested in
Write in detail how you have used math in the real-world to solve a problem.
neonofarm [45]

Answer:

I went shopping once for ingredients of a cake, but i didn't know what my finale price would be. So i estimated what the total cost could be, then i took all the prices and added them up then divided the price by how many ingredients i got to find the average and it was pretty close to my estimate. So math can help when you go shopping. (Sorry if how i find my prices is weird, i kinda just stand in one spot for at least 5 - 8 mins trying to find my price)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
6.
lys-0071 [83]

First, you have to divide the candles by 5.

225/5 = 45

That's it, so you get your answer 45!!!!

7 0
3 years ago
Which compound inequality best describes the following?
bija089 [108]

Answer:

I think it might be A: 75< x<84

Step-by-step explanation:

but i am not sure

8 0
4 years ago
The student council set a goal of raising at least 500 in flower sales. So far it has raised 415.
Virty [35]
85 more dollars to go.
500(total) - 415( so far) = 85 ( $ Left to earn)
3 0
3 years ago
Find the slope (7,-2) and (6,-2)
alexgriva [62]
I hope this helps you

7 0
4 years ago
Other questions:
  • -7p-4&gt;26p-94 what is p
    9·1 answer
  • Find the slope of the line passing through the points (–1, 3) and (4, –7).
    5·2 answers
  • Please help me the 3^2+8x=10 x=?
    12·2 answers
  • Please answer this question now
    12·2 answers
  • Find the value of negative four to the third power. a. 64 b. 16. c. -64. d. -16.​
    7·2 answers
  • What is the value of x?<br><br><br><br> Enter your answer in the box.
    5·1 answer
  • Can someone pls pls help me?
    12·1 answer
  • Please answer! Need help!
    8·1 answer
  • Are 2x3 and 4x4 like or unlike terms? (3 and 4 are exponents. this is not a multiplication question)
    5·1 answer
  • Question in the picture, please answer!! 50 points!
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!