Answer:
[tex]\frac{4}{5}log125=log 625[/tex] is the required equation.
Step-by-step explanation:
We have an equation:
[tex]125^{\frac{4}{5}}=625[/tex]
Taking log on both sides so as to write the given equation in logarithmic form we get:
[tex]log(125^{\frac{4}{5}})=log625[/tex]
Now, using the property:
[tex]log m^n=n logm[/tex]
So, we will get after using the above property:
[tex]\frac{4}{5}log125=log 625[/tex]
Hence, the required result that is the equation to be converted in logarithmic form would be:
[tex]\frac{4}{5}log125=log 625[/tex]
