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Exercise

$\log\left(5\right)\cdot \frac{625}{25^{\frac{1}{3}}}$

Step-by-step Solution

1

Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=\frac{625}{\sqrt[3]{25}}$, $b=10$ and $x=5$

$\log \left(5^{\frac{625}{\sqrt[3]{25}}}\right)$

Final answer to the exercise

$\log \left(5^{\frac{625}{\sqrt[3]{25}}}\right)$

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