The domain and range of the graph of a logarithmic function are;
- Range; The set of real numbers.
<h3>How can the graph that correctly represents a logarithmic function be selected?</h3>
The basic equation of a logarithmic function can be presented in the form;

Where;
b > 0, and b ≠ 1, given that we have;


The inverse of the logarithmic function is the exponential function presented as follows;

Given that <em>b</em> > 0, we have;

Therefore, the graph of a logarithmic function has only positive x-values
The graph of a logarithmic function is one with a domain and range defined as follows;
Domain; 0 < x < +∞
Range; -∞ < y < +∞, which is the set of real numbers.
The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.
Learn more about finding the graphs of logarithmic functions here:
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Answer:
41
Step-by-step explanation:
What I did was I took 180, 85 and 54 and subtracted them to get 41 if it is wrong i am so very sorry
Answer:
<h3>A.
50 yards.</h3>
Step-by-step explanation:
Given the coordinates of the length of PH as P(2,55) and H(32, 15), to get the actual length of the land bridge from P to H, we will use the formula for calculating the distance between two points.
D = √(x₂-x₁)²+(y₂-y₁)²
PH = √(32-2)²+(15-55)²
PH = √(30)²+(-40)²
PH = √900+1600
PH = √2,500
PH = 50
Hence the actual length of the land bridge from P to H to the nearest yard is 50 yards.
Answer:

Step-by-step explanation:
1) Convert
to improper fraction. Use this rule:
.

2) Simplify 4 * 3 to 12.

3) Simplify 12 + 1 to 13.

4) Convert
to improper fraction. Use this rule:
.

5) Simplify 1 * 3 to 3.

6) Simplify 3 + 2 to 5.

7) Join the denominators.

8) Simplify.

9) Convert to mixed fraction.

(Decimal Form: 2.666667)
Thank you,
Eddie
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to


so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A

solve for y

Find the value of x

therefore
The measure of the shortest side is 851 miles