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
The greatest common factor is 8 because Prime factor is 2 and 4, Number 48 is 4 and 1 Number 64 is 6 and o Number 72 is 3 and 0 which it would all equal 2^3 so 48 = 2^4 times 3 64 = 2^6 and 72 = 2^3 times 3^2 Hope this helps.
Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2
12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369
If the left side equals the right side than it is a right triangle.
Your answer is: Yes
Have an amazing day and stay hopeful!
Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is 
which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
Answer: A
Step-by-step explanation:
Subtract 12 from both sides:
y + 15 - 15 < 3 - 15
Simplify:
y < -12
