1. **Problem statement:** Convert the logarithmic equations to their exponential form. 2. **Recall the definition:** For logarithm base $b$, $\log_b a = c$ means $b^c = a$. 3. **Apply to each:** 1) $\log 2 = 4$ means $10^4 = 2$. 2) $\log 0.0001 = 1000$ means $10^{1000} = 0.0001$. 3) $\log 64 = 6$ means $10^6 = 64$. 4. **Explanation:** The base of the logarithm is assumed to be 10 (common logarithm) unless otherwise specified. 5. **Final answers:** 1) $10^4 = 2$ 2) $10^{1000} = 0.0001$ 3) $10^6 = 64$