NATURAL LOGARITHMS LESSON 10 – 3 MATH III. THE NUMBER E e is a mathematical constant found throughout math and science. Bell curve distributions Self-supporting.

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Presentation transcript:

NATURAL LOGARITHMS LESSON 10 – 3 MATH III

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

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 = )ln 10 = x

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

SOLVING BASE E EQUATIONS

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