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Negative Log Calculator

Math

Calculate the negative logarithm of a number, commonly used for pH and similar scientific scale calculations.

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01,000,000,000
01,000

Negative Log

-3.000000

The negative logarithm, -log_base(number).

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

What is a negative logarithm used for?

It is most commonly seen in chemistry, where pH is defined as the negative base-10 logarithm of hydrogen ion concentration, -log10(H+). The same negative-log idea also appears in other scientific scales.

How is the negative logarithm calculated?

Find the ordinary logarithm of the number at the given base, then flip its sign: -log_base(number).

Why is the result negative for numbers greater than 1?

An ordinary logarithm of a number greater than 1 (with a base greater than 1) is positive, so negating it produces a negative result. For numbers between 0 and 1, the ordinary logarithm is already negative, so negating it gives a positive result.

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