What is the remainder when 23,870 ÷ 38
1 answer:
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We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:
So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read:
Answer:
As shown in picture, this is an isosceles right triangle ( A = 90 deg, B = C = 45 deg). => Except hypotenuse, side1 = side2, or x =
Hope this helps!
:)
Answer:
7
Step-by-step explanation:
If a system decreases by 12% it's the same as multiplying it by .12-1 or .88
This means we can create the following equation
computer value=5300(.88)^n
where n is the number of years
We can then plug in the value of the computer and solve for n
2200=5300(.88)^n
Divide by 5300 and get
.415=.88^n
Then put this into log form and get
Evaluate this into your calculator and get n=6.69 which I would probably just round to 7