Simplify log of x^4- log of x^3

$\log (x^{4}) - \log (x^{3})$

Step 1

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

$\log (\frac{x^{4}}{x^{3}})$

Step 2

Cancel the common factor of $x^{4}$ and $x^{3}$ .

Factor $x^{3}$ out of $x^{4}$ .

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

Cancel the common factors.

Multiply by $1$ .

$\log (\frac{x^{3} x}{x^{3} \cdot 1})$

Cancel the common factor.

$\log (\frac{x^{3} x}{x^{3} \cdot 1})$

Rewrite the expression.

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

Divide $x$ by $1$ .

$\log (x)$