1. **State the problem:** Simplify the expression $$\frac{20}{\log 4^2 - \log 4}$$. 2. **Recall logarithm properties:** - The power rule: $$\log a^b = b \log a$$. - The subtraction rule: $$\log a - \log b = \log \frac{a}{b}$$. 3. **Apply the power rule:** $$\log 4^2 = 2 \log 4$$. 4. **Rewrite the denominator:** $$\log 4^2 - \log 4 = 2 \log 4 - \log 4 = (2 - 1) \log 4 = \log 4$$. 5. **Simplify the expression:** $$\frac{20}{\log 4}$$. **Final answer:** $$\frac{20}{\log 4}$$.