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PhAST Track Mathematics Module: Revision: Logarithms

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Chapter 19: Fundamental Mathematics

pg: 205 - 207

pH and logarithms

Logarithms

Logarithms seem to confuse people far more than powers, which is unusual as they are essentially opposite functions.

Recall:

Generally, we are concerned with base ten (i.e., in the above equation, y = 10).

So, the above equation "simplifies" to

HINT: If you forget this link between the two concepts, look on your calculator! Generally the log button has its reverse function (10x) with it.

Logarithms in pharmacy

The most commonly-encountered use of common use of logarithms in pharmacy (and chemistry) is the pH scale. The pH of a solution is equal to the negative logarithm of the hydrogen ion concentration:

pH is inversely related to hydrogen ion concentration as follows:

As the pH scale uses base ten, each whole number on the pH scale is different to the next number by a factor of ten (e.g., pH 5 is ten times more acidic than pH 6).

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