Log (subscript b) (x) = Log (subscript a) (x)/Log (subscript a) (b)

Ex: Log (subscript 3) (7) = Log (subscript 10) (7)/Log (subscript 10) (3)

A reflection across the x-axis means to draw the mirror image of a graph if a mirror were placed along the x-axis. If you take a particular x-value, and its y-value on the graph is normally 3 units above the x-axis, its reflection would be 3 units *below* the x-axis. Can you think of a way to change your equation y=sin(x) to get all the points to be on the opposite side of the x-axis?

Similarly, for a reflection across the y-axis, if a point on the graph is normally 2 units to the right of the y-axis, in the reflection that point will be 2 units to the left of the y-axis. Notice that the y-value stays the same but the x-value changes. Can you think of a way to change your equation to get it to do that?