Simplify log of x^3- log of x^2

$\log (x^{3}) - \log (x^{2})$

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{x^{3}}{x^{2}})$

Cancel the common factor of $x^{3}$ and $x^{2}$ .

Factor $x^{2}$ out of $x^{3}$ .

$\log (\frac{x^{2} x}{x^{2}})$

Cancel the common factors.

Multiply by $1$ .

$\log (\frac{x^{2} x}{x^{2} \cdot 1})$

Cancel the common factor.

$\log (\frac{x^{2} x}{x^{2} \cdot 1})$

Rewrite the expression.

$\log (\frac{x}{1})$

Divide $x$ by $1$ .

$\log (x)$