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: 89
Step-by-step explanation:
check on google
Answer: -4
Step-by-step explanation:
2(-3)*2-(-3)+5= -4
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.
TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.
17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17
For some reason, this does not give a correct value for Y, so I had to use trig
TO FIND Y
Notice that the angle DAB is the same as DBC (lets call this angle Ø)
Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.
We can now form some equations:
cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15
X=64/15 Y=136/15