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Verified Answer :

Answer:

\(\frac{4}{5}log125=log 625\) is the required equation.

Step-by-step explanation:

We have an equation:

\(125^{\frac{4}{5}}=625\)

Taking log on both sides so as to write the given equation in logarithmic form we get:

\(log(125^{\frac{4}{5}})=log625\)

Now, using the property:

\(log m^n=n logm\)

So, we will get after using the above property:

\(\frac{4}{5}log125=log 625\)

Hence, the required result that is the equation to be converted in logarithmic form would be:

\(\frac{4}{5}log125=log 625\)

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