Here are some log rules dummy.

Rule 1: $\log_b(M \cdot N) = \log_b M + \log_b N$

Rule 2: $\log_b(\frac{M}{N}) = \log_b M - \log_b N$

Rule 3: $\log_b(M^k) = k \cdot \log_b M$

Rule 4: $\log_b(1) = 0$

Rule 5: $\log_b(b) = 1$

Rule 6: $\log_b(b^k) = k$

Rule 7: $k^{\log_b(b^k)} = k$