Have you ever been befuddled by the rules for logs?
More specifically, have you ever looked at this rule:
log (v w) = log v + log w
and thought: Now why in the world is that true?! What exactly is this saying? I know that I, myself, have had that thought. And for me the desire to understand this rule never went away. Till I got it some time ago.
[By the way, keep in mind that the v and the w in the parentheses are multiplying each other, so that v w actually means: v times w]
And the good news is: I think I can explain this rule in a way so that pretty much everyone who knows basic algebra can grasp it.
O.K., first, I knew that this log rule was related to another rule, the exponent rule that says:
(a^b) x (a^c) = a^(b…
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