Logarithmic functions and exponential functions are inverse and opposite of one another
The logarithmic function is
, and the length at 8 pascals is 3 units
<h3>How to determine the
logarithmic function</h3>
The exponential function is given as:

Express f(x) as y

Swap the positions of x and y

Take the logarithm of both sides

Apply the rule of logarithm

Divide both sides by log(2)

Apply the change of base rule of logarithm

When the strength is 8 pascals, we have:

Express 8 as 2^3

So, we have:

Evaluate log 2 base 2

Hence, the logarithmic function is
, and the length at 8 pascals is 3 units
Read more about logarithmic and exponential functions at:
brainly.com/question/11464095
Answer:
y = (1/4)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b. Here we are told that the line passes through (-8, -5) and that its slope is 1/4 (is that correct?).
Substituting -5 for y, -8 for x and 1/4 for m, we get an equation for the y-intercept, b:
-5 = (1/4)(-8) + b, or
-5 = -2 + b, so b = -3, and the desired equation is
y = (1/4)x - 3
D is a notation for differential. There is a d2 in your formula because in the numerator there are two differentials. The formula is thus the second derivative of a function with respect to two variables.
Step-by-step explanation:
The domain of a function is all possible input x-values, and the range of function is all possible output y-values.
The domain of this function is (-6, 3) and the range is (-5, 5). Those are written like this:
D: (-6, 3)
R: (-5, 5)
I suppose I'll pick the first one: "The domain is (-6, -1)." This is wrong as the domain on the graph shown is (-6, 3).
Answer:
Step-by-step explanation:
5,500$ lol