Expand the Logarithmic Expression log base 4 of 7/(x^3)

$\log_{4} (\frac{7}{x^{3}})$

Rewrite $\log_{4} (\frac{7}{x^{3}})$ as $\log_{4} (7) - \log_{4} (x^{3})$ .

$\log_{4} (7) - \log_{4} (x^{3})$

Expand $\log_{4} (x^{3})$ by moving $3$ outside the logarithm.

$\log_{4} (7) - (3 \log_{4} (x))$

Multiply $3$ by $- 1$ .

$\log_{4} (7) - 3 \log_{4} (x)$