Step-by-step Solution

Condense the logarithmic expression $\log \left(5\right)\frac{625}{\sqrt[3]{25}}$

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Step-by-step explanation

Problem to solve:

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

Learn how to solve condensing logarithms problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve condensing logarithms problems step by step online. Condense the logarithmic expression log(10,5)625/(25^0.3333333333333333). Calculate the power \sqrt[3]{25}. Divide 625 by \sqrt[3]{25}. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=213.747, b=10 and x=5. Calculate the power 5^{213.747}.

Final Answer

$\log \left(2147483647\right)$
$\log\left(5\right)\cdot \frac{625}{25^{\frac{1}{3}}}$

Main topic:

Condensing Logarithms

Time to solve it:

~ 0.02 s (SnapXam)