A logarithmic function without a subscript means that it must be log base 10.
When learning about logarithms, a textbook/teacher provides their students with the following general equations
Hopefully you are familiar with this. Using the equations that I just showed, we can change the equation to
This would make answer choice C correct.
Answer:
1) The reflection of a preimage (x, y) across the line y = x gives the image (y, x)
Therefore, the the coordinates of the points L, M, and N interchange to give an image of the triangle that is apparently rotated 90° clockwise, on the opposite quadrant and equidistant from the line y = x
2) Where the line segment drawn from point L to the reflecting line is horizontal, and the line segment drawn from point L to the reflecting line is horizontal, the two line segment will be of the same length and separated vertically separated vertically by a distance equal to the sum of the absolute values of the x and y coordinates of the point L
When the line segment from point L is drawn perpendicular to the reflecting line, the line segment from point L' drawn perpendicular to the reflecting line will meet the the perpendicular line segment at the same point of intersection of the line from the point L and the reflecting line
3) Yes
4) This is so because, reflection of a preimage unto an image is a form of rigid transformation, therefore, the effect of the transformation operation will be similar when each point is individually considered.
Step-by-step explanation:
Proof:
Given any functions they are linearly dependent if we can find values of such that
Using the given functions in the above equation we get
This will be satisfied if and only if
Solving the equations we get
Since we have 3 variables and 2 equations thus we will get many solutions
one being if we put we get
Thus we have as one solution. Hence the given functions are linearly dependent.