Logarithmic Action (2)!

Interact with the applet below for a few minutes.[br]. [br]Prior to starting, feel free to move the [b][color=#980000]brown[/color][/b] and [color=#9900ff][b]purple[/b][/color] point wherever you'd like (on the x-axis.) [br]You can move the [b][color=#38761d]green point[/color][/b] anywhere you'd like as well. [br][br][b]Note:[/b][br]In order to see the [b]referenced black point[/b] that eventually appears, [b]you may need to zoom out[/b] a bit. [br]
[b]In general, how can you express the sum of two logarithms as the logarithm of a single quantity? [/b]
Quick Demo (BGM: Andy Hunter)

Information: Logarithmic Action (2)!