# How do you find the domain and range of F(x)=ln(x^2)?

Aug 8, 2017

Domain $\left\{x | x > 0 , x \in \mathbb{R}\right\}$
Range: $\left\{y | y \in \mathbb{R}\right\}$

#### Explanation:

We use the laws of logarithms to simplify:

$f \left(x\right) = 2 \ln \left(x\right)$

This is just a normal logarithmic function, with domain $\left\{x | x > 0 , x \in \mathbb{R}\right\}$.

The range will be $\left\{y | y \in \mathbb{R}\right\}$, which is universal for logarithmic functions.

Hopefully this helps!