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There isn't. Both equations are equal to each other, one simply uses a natural log, and the other uses a log base 10 and simplifies/integrates the constant into the equation required to make both equations equal.
As mentioned above, both equations are the same except for the fact that one uses base e and the other uses base 10. The equation with base 10 is more typically used because pH is based on a log base 10 scale.
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