The definitive answer is 'pH = -log(10) [H^(+)]
In words, ' pH is the negative logarithm, to the base ten, of the hydrogen ion concentration.
As an example
If H^(+) is 0.002
Then
pH = -log(10)[0.002]
On the calculator using the 'log' button
pH = -(-2.69897...)
pH = 2.69897...
pH = 2.70
NB This would be an acidic pH
NNB pH is always quoted to 2 d.p. only.
NNNB Do NOT use the 'ln' button on a calculator.
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The Decibal scale for sound measurement is an example of a logarithmic scale. The Richter scale, the pH scale, the magnitude scale for stars, the multiplicative scales on a slide rule
pH + pOH =14
S=ph+2b
Acids.
Here are just a few modern uses for logarithms:The Saffir-Simpson Hurricane Scale, Richter Magnitude Scale, and pH scale are all based on logarithms.You see brightness on a logarithmic scale, so as light becomes constantly brighter, it starts having less relative affect on your vision.Musical notes are measured logarithmically, and the frets on a guitar grow closer together as the notes become higher in pitch.Engineering data is sometimes graphed on a logarithmic scale.