Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have .
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have
which is 3² = 9 written in logarithmic form.
This can also be switched around to read .
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
This is a downward facing parabola, so its range comes in the form
where m is the y coordinate of the vertex of the parabola.
We can find the x coordinate of the vertex using
And if we plug -1 in the equation we get the y coordinate of the vertex:
So, the range is the interval
