Question

Write to the equation in logarithmic form 125^4/3 = 625. PLEASEE HELP!

Answer 1

`((4)/(3))=log_(125)(625)`

Explanation:

The given equation is:

`125^{(4)/(3)}=625`

Now, taking log to base 125 on both sides, we get

`log_(125)(125^{(4)/(3)})=log_(125)(625)`

`((4)/(3))log_(125)(125)=log_(125)(625)`

Now, log to the base 125 of 125 is equal to one as log to the base a of a is equal to one, therefore,

`((4)/(3))=log_(125)(625)`

which is the required logarithmic form.