The logarithmic function when the temperature is 64 degrees is given as
ln f(x) = x ln 2.
<h3>
What is a logarithmic function?</h3>
A logarithmic function is the inverse of an exponential function. It is to be noted that all exponential functions can be written as logarithmic functions.
Hence, to convert the mathematical statement above into a logarithmic function we say:
f(x) = 2ˣ
ln f(x) = ln 2ˣ
ln f(x) = x ln 2
Ln 64 = x Ln 2
Let f(x) = 64;
Hence,
Ln 64 = x ln 2
Divide both sides by ln 2 to get x
ln 64/ln 2 = x
Hence,
x = ln 64/ln 2
= 6
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Answer:
We kindly ask you to see the explanation and the image attached below for further details.
Step-by-step explanation:
From Function Theory we know that third order polynomials are continuous functions with one relative minimum and one relative maximum and whose domain and range comprehends the set of all real numbers. Since the leading coefficient of the polynomial is positive, then two increasing intervals and only one increasing interval exist.
Now we proceed to graph the function and label each relevant information when possible.
Domain

Range
Zeros
x = 3 and x = 6
The probability of rolling a sum of six or two even numbers.
is P = 1/3
<h3>
How to find the probability?</h3>
Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:
6*6 = 36
Now, the outcomes that given a sum of 6 are:
dice 1 dice 2.
1 5
5 1
2 4
4 2
3 3
We have 5 outcomes there.
The outcomes where both numbers are even are:
dice 1 dice 2.
2 2
2 4
4 2
4 4
4 6
6 2
6 4
6 6
We have 8 outcomes here (such that 2 are in the ones we counted before).
Then the total number of outcomes that either add to 6 or have both even numbers are:
5 + 8 - 2 = 12
Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:
P = 12/36 = 1/3
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The answer is g = 2a / h - f
Hope this helps! ☺♥
Answer:
<h2>9.656cm</h2>
Step-by-step explanation:
Applying SOH CAH TOA
The opposite to the angle 44° is the height
let the height be x meters
The distance from the both to the lighthouse is 110 meters which is the adjacent
Applying Tan ∅= opp/adj
The equation used to find the height is Tan ∅= opp/adj

The height is 9.65cm