Welcome to Advanced Algebra: Logarithms 🐸

Understanding Logarithms

Logarithms are the mathematical inverse of exponentiation. If bˣ = y, then log_b(y) = x. Essentially, a logarithm answers the question: "To what power must the base b be raised, to yield the number y?"

Basic Properties:

• Product Rule: log_b(xy) = log_b(x) + log_b(y)
• Quotient Rule: log_b(x/y) = log_b(x) - log_b(y)
• Power Rule: log_b(xᵃ) = a * log_b(x)

Try It Yourself

Base (b): Value (y): Calculate x = log_b(y)

Watch More Lessons

• Exponents
• Sequences
• Complex Numbers