Why is 2/(x lnx^2) = 1 / (x ln x) ?

[Knight226]

Homework Statement

2/(x lnx^2) = 1 / (x ln x)
That is the answer in the back of my textbook. I have reached 2 ( x ln x^2) , but I do not know why it is = to 1 / ( x ln x )

Homework Equations

The Attempt at a Solution

I tried to look into precal book to see if I could find information on this "ln simplify process" but I can't find it. I didn't have proper math classes so I am missing a lot of math stuff that people who take calculus should know :/ Please advice. Thank you.

 

[Mark44]

Homework Statement

2/(x lnx^2) = 1 / (x ln x)
That is the answer in the back of my textbook. I have reached 2 ( x ln x^2) , but I do not know why it is = to 1 / ( x ln x )

Homework Equations

The Attempt at a Solution

I tried to look into precal book to see if I could find information on this "ln simplify process" but I can't find it. I didn't have proper math classes so I am missing a lot of math stuff that people who take calculus should know :/ Please advice. Thank you.

Can you simplify ln(x²)? Look in your book for properties of logarithms. They should be close to the beginning of the section that introduces logs.

Also, this section of the forum is for Calculus & Beyond. Yours is a precalculus question.