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Condense the logarithmic expression $\log_{5}\left(5^2\right)x^8$

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Derivative

$\frac{d}{dx}\left(\log_{5}\left(5^2\right)x^8\right)=\log_{5}\left(25\right)\cdot 8x^{7}$ See step-by-step solution

Integral

$\int\log_{5}\left(5^2\right)x^8dx=\frac{\log_{5}\left(25\right)x^{9}}{9}+C_0$ See step-by-step solution

 Main Topic: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.

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