Question

Write the equation in logarithmic form. 125^4/3=625

Answer 1

Ln(a^p) = p Ln a, for all a>0
Ln125^4/3=Ln625,  4/3Ln125=Ln625, so 4Ln125=3Ln25^2
the answer is 2Ln125=3Ln25

Answer 2

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:

$\frac{4}{5}log125=log 625$