Pre-Calculus 12 · Algebra
Logarithm Laws and Equations
Logarithm laws mirror exponent laws: log(ab) = log a + log b because exponents add when bases multiply. These laws let students collapse complex expressions and, crucially, solve equations like 3^x = 17 by taking the log of both sides. Applications to pH, decibels, and earthquake magnitude show students why logarithmic scales exist and what they mean.
WHAT STUDENTS WILL LEARN
✓Apply product, quotient, and power laws for logarithms
✓Use the change-of-base formula
✓Solve exponential and logarithmic equations
✓Apply logarithms to real-world models: pH, decibels, the Richter scale
BUILDS ON
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