How do you expand ln(4x)(y^1/5)

Question

I am wondering how to expand this log function. This description needs to be 20 words long but you don't need that many to describe this problem. Ya feel?

Answer 1

Hi!

ln(4x)(y^1/5)

The natural logarithm of two parenthetical expressions.  One is a multiple of the number four and the variable x.  The other is a second variable, y, which is to the exponential of one-fifth, also known as its fifth-root.

Because the parenthetical equations are being multiplied by each other, we can expand this natural logarithm...

In(4x)+In(y^1/5)

The equation in expanded form is presented as the natural logarithm of the multiple of four and the variable x, added to the natural logarithm of the fifth-root of the variable y.

The exponential of 1/5 can be converted into a coefficient of the natural logarithm of y...

In(4x)+(1/5)In(y)

 

I THINK THIS IS WHAT YOU REQUESTED.  PLEASE LET ME KNOW IF IT IS NOT.