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

Step-by-step Solution

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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Solve for x
  • Condense the logarithm
  • Expand the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • Load more...
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Final answer to the problem

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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

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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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