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 number π is a mathematical constant, the ratio of a circle's circumference to its diameter, commonly approximated as 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, though it is also sometimes spelled out as "pi" (/paɪ/
Step-by-step explanation:
the answer is
Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle
<u>Step-by-step explanation:</u>
The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.
- If | k |> 1, the dilation is an extension.
- If | k | <1 it is reduction.
The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.
If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.
The answer is f(x)‐¹=(+/-)x+25+5
