Answer:
or
Step-by-step explanation:
By definition the function
has a domain of
.
Since the function is not defined for the values of x negative or equal to zero.
The range of this function is all the real numbers.
Since when
and
when
In this case we have the function
Therefore since the log function is squared then its range is now
Answer:
Step-by-step explanation:
We can use some logarithmic rules to solve this easily.
<em>Note: Ln means </em>
<em />
Now, lets start with the equation:
Writing left side with logarithmic base e, we have:
We can now use the property shown below to make this into exponential form:
So, we write:
We recognize another property of exponentials:
So, we write:
Also, another property of natural logarithms is:
Now, we simplify:
This is the answer.
