1. NATURAL LOGARITHMS LESSON 10 – 3 MATH III

2. THE NUMBER E e is a mathematical constant found throughout math and science. Bell curve distributions Self-supporting arches Continuous growth

3. NATURAL LOGS Create an inverse of e that allows us to solve for unknown exponents. Rewriting exponential and logarthmic forms 1)e x = 8 2)e 5 = x 3)ln x = 0.7741 4)ln 10 = x

4. NATURAL LOG PROPERTIES 3 ln(10x) – 4ln(5y) 6ln(6x) + 3ln(12y) 5ln(2y) – 4ln(3z) + 2ln(x) 2ln(4x) + ln(z) – ln(y)

5. SOLVING BASE E EQUATIONS

6. SOLVING NATURAL LOG EQUATIONS ln (2x – 3) 2 = 6