[sdiy] LOG VCA?

[Aaron Lanterman]

On Tue, 7 Jun 2005, Michael Ruberto wrote:

> also, if you average a log curve and an expo curve isn't the result linear?

Alas no...

log_b(x) + b^x does not equal c*x for all x for any c...

Also, log_b(x) * b^x does not equal c*x for all x for any c...

What you do get is log_b(b^x) = b^log_b(x) = x. They are inverses in the 
function composition sense, not the multiplicative or additive senses.

- Aaron

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