Simplifying Complex Math Expression

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SUMMARY

The forum discussion centers on simplifying the complex mathematical expression $[\sqrt{4+\pi^2}-2\ln\left({\frac{2+\sqrt{4+\pi^2}}{2}}\right)]-[\sqrt{4+\pi^2/9}-2\ln\left({\frac{2+\sqrt{4+\pi^2/9}}{2}}\right)]$. Participants emphasize the importance of applying logarithm rules to combine logarithmic terms effectively. A clarification was sought regarding the interpretation of the expression $4 + \pi^2/9$, specifically whether it denotes $4 + \frac{\pi^2}{9}$ or $\frac{4+\pi^2}{9}$. This highlights the necessity for precision in mathematical notation.

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$[\sqrt{4+\pi^2}-2\ln\left({\frac{2+\sqrt{4+\pi^2}}{2}}\right)]-[\sqrt{4+\pi^2/9}-2\ln\left({\frac{2+\sqrt{4+\pi^2/9}}{2}}\right)]$
 
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The only thing you can do is combine the logarithms using the logarithm rules.
 
Hello, ineedhelpnow!

You wrote \;4 + \pi^2/9
Does that mean: \:4 + \frac{\pi^2}{9}\,\text{ or }\,\frac{4+\pi^2}{9}\,?
 

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