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

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 Solution

 Videos

Tutorial - Condensing logarithmic expressions ex 11, 1/2(3log2(x)-2 log2(z))

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Algebra 2 - converting between logarithmic and exponential form 15^3 = 3375, log125 (5) = 1/3

https://www.youtube.com/watch?v=u-vlkoXUrFg

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Pre-Calculus - Condensing a logarithmic expression to one logarithm 2[3lnx - ln(x+1)-ln(x-1)]

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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 full solution 

Integral

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

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