multiplying a log by negative one--flip?

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SaintJude

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TPRH (p.477)-passage 69 no. 2

When they multiplied the log by negative 1, they seemed to make a flip of the log. Is this correct? The point was to convert the Henderson-Hasselbach equation into its non-log format.

JmeOo.png
 
Whatever you multiple the logarithm by it's the same as exponentiating the argument (what's in the parenthesis) by the same value.

so for instance

a - log(a/b) = a + (-1)log(a/b) = a + log([a/b]^-1) = a + log(b/a)

Because [a/b]^-1 = 1/[a/b] = b/a
 
Riiight. Oops--Well, anyway, I like that version of H-H equation much better.

[H+] = Ka x [acid/base]
 
it's best to remember one version for the rest of your life, and conjugate the others on the spot.

I use as few negatives as possible.

pK = pH - log a-/ha
pH = pK + log a-/ha

Haha!
aha!
 
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