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I know that the apparent magnitude $m$ of a star is related to its intensity by Pogson's law: $m = −2.5 log_{10} I$.

And I also know that the absolute error is defined as follows:

Let $\hat{}$ be an approximate value of a quantity whose exact value is $x$, the absolute error of $\hat{}$ is defined as $Δ = − \hat{}$

If $I = 10 \pm 0.1$ how can I determinate m and the absolute error made?

Lujan
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