Expand the Logarithmic Expression log of 8/(y^4)

$\log (\frac{8}{y^{4}})$

Rewrite $\log (\frac{8}{y^{4}})$ as $\log (8) - \log (y^{4})$ .

$\log (8) - \log (y^{4})$

Expand $\log (y^{4})$ by moving $4$ outside the logarithm.

$\log (8) - (4 \log (y))$

Multiply $4$ by $- 1$ .

$\log (8) - 4 \log (y)$

Simplify each term.

Rewrite $\log (8)$ as $\log (2^{3})$ .

$\log (2^{3}) - 4 \log (y)$

Expand $\log (2^{3})$ by moving $3$ outside the logarithm.

$3 \log (2) - 4 \log (y)$