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Exercise

$3\log_8\left(\log_2\left(x\right)\right)$

Step-by-step Solution

1

Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=3$, $b=8$ and $x=\log_{2}\left(x\right)$

$\log_{8}\left(\log_{2}\left(x\right)^3\right)$

Final answer to the exercise

$\log_{8}\left(\log_{2}\left(x\right)^3\right)$

Try other ways to solve this exercise

  • 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
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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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