What are 8 essential logarithm properties with proofs?

Learn logarithm properties: ᵃlog(b×c) = ᵃlog b + ᵃlog c, ᵃlog(b/c) = ᵃlog b - ᵃlog c, ᵃlog bⁿ = n·ᵃlog b, and 5 others with complete mathematical proofs.