108: e^x and ln(x)
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Introducing e
Introducing e
F1-14 [Exponentials: Introducing e via Compound Interest]
F1-14 [Exponentials: Introducing e via Compound Interest]
F2-01 [Exponential Model: Another way of deriving e]
F2-01 [Exponential Model: Another way of deriving e]
The Gradient Function
The Gradient Function
F2-02 [Exponential Model: The Gradient of e^kx]
F2-02 [Exponential Model: The Gradient of e^kx]
Sketching y = e^x
Sketching y = e^x
F1-17 [Exponentials: Sketching y = e^x]
F1-17 [Exponentials: Sketching y = e^x]
The Natural Logarithm ln(x)
The Natural Logarithm ln(x)
F3-13 [Logarithms: Introducing The Natural Logarithm ln(x)]
F3-13 [Logarithms: Introducing The Natural Logarithm ln(x)]
Log Laws with ln(x)
Log Laws with ln(x)
F4-08 [Laws of Logarithms: In terms of ln(x)]
F4-08 [Laws of Logarithms: In terms of ln(x)]
F4-09 [Laws of Logarithms: Using the Laws]
F4-09 [Laws of Logarithms: Using the Laws]
F4-10 [Laws of Logarithms: Writing in the form ln(k)]
F4-10 [Laws of Logarithms: Writing in the form ln(k)]
F4-11 [Laws of Logarithms: Writing as a Single Logarithm]
F4-11 [Laws of Logarithms: Writing as a Single Logarithm]
F4-12 [Laws of Logarithms: Examples]
F4-12 [Laws of Logarithms: Examples]
F4-13 [Laws of Logarithms: Tougher Example]
F4-13 [Laws of Logarithms: Tougher Example]
Solving e^x = k
Solving e^x = k
F5-22 [Exponential Equations: Solve e^x = 5]
F5-22 [Exponential Equations: Solve e^x = 5]
F5-23 [Exponential Equations: Solve e^(2x-3) = 4]
F5-23 [Exponential Equations: Solve e^(2x-3) = 4]
F5-24 [Exponential Equations: Examples with e]
F5-24 [Exponential Equations: Examples with e]
F5-25 [Exponential Equations: Hidden Quadratics in terms of e]
F5-25 [Exponential Equations: Hidden Quadratics in terms of e]
F5-26 [Exponential Equations: Examples of Hidden Quadratics in terms of e]
F5-26 [Exponential Equations: Examples of Hidden Quadratics in terms of e]
Solving ln(x) = k
Solving ln(x) = k
F5-32 [Logarithmic Equations: Solve ln(x) = 3]
F5-32 [Logarithmic Equations: Solve ln(x) = 3]
F5-33 [Logarithmic Equations: Solve ln(5x - 4) = 6]
F5-33 [Logarithmic Equations: Solve ln(5x - 4) = 6]
F5-34 [Logarithmic Equations: Solve ln(x+1) + ln(x) = ln(6)]
F5-34 [Logarithmic Equations: Solve ln(x+1) + ln(x) = ln(6)]
F5-35 [Logarithmic Equations: Natural Logarithm Equation Examples]
F5-35 [Logarithmic Equations: Natural Logarithm Equation Examples]