Today we will learn about the rules of same-base logarithms.

The basic rules:

• The Power Rule: k * log_b(x) = log_b(x^k)
• The Product Rule: log_bM + log_bN = log_b(M * N)
• The Quotient Rule: log_bM - log_bN = log_b(M/N)
• The Zero Rule: log_b(1) = 0
• The Identity Rule: log_b(b) = 1
• The Log of Exponent Rule: log_b(b^k) = k
• b^log_b(k) = k