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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

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A=1/2f(r+z), solve for r
marin [14]

Answer:\frac{2A}{f} -2=f

Step-by-step explanation:

A=1/2(r+2)

2A=f(r+2)

2A/f=r+2

2A/f-2=r

7 0
2 years ago
A city's population is currently 500,000. If the population doubles every 65 years, what will the population be 130 years from n
kompoz [17]

Answer:

2,000,000

Step-by-step explanation:

Simple maths, really.

65 times 2 is 130, and the population is already 500,000 with no time passing. 65 years later, the population would be 1,000,000. 65 years after that, the population would double again, so the answer would be 2 million.

Hope this helped!

5 0
3 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4. What
REY [17]

Answer:

The probability that the page will get at least one hit during any given minute is 0.9093.

Step-by-step explanation:

Let <em>X</em> = number of hits a web page receives per minute.

The random variable <em>X</em> follows a Poisson distribution with parameter,

<em>λ</em> = 2.4.

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

Compute the probability that the page will get at least one hit during any given minute as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-\frac{e^{-2.4}(2.4)^{0}}{0!}\\=1-\frac{0.09072\times1}{1} \\=1-0.09072\\=0.90928\\\approx0.9093

Thus, the probability that the page will get at least one hit during any given minute is 0.9093.

6 0
2 years ago
Michelle buys a motorcycle for $10,000. The motorcycle loses 20% of its value each year. The depreciation of the motorcycle is s
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You can use cross product to slove this equation.

3 0
3 years ago
Johanna purchases a book for $14.95. There is a sales tax of 6.5%. How much is the final price with tax? What is the total? What
Nat2105 [25]
Okay so 6.5%  of $14.95 is 0.97175. That rounds to 0.97. And to get the total we just add 0.97 to 14.95. Our answer is 15.92. However if you don't want to round then you would add 14.95 and 0.97175 . This would give you15.92175. Hope this helps!
8 0
3 years ago
Read 2 more answers
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