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Logarithms, one idea at a timeMathematics Methods, Unit 3 & 4
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The logarithmic function Calculus of natural logarithms

Undoing an exponent.

You can raise a number to a power. Logarithms answer the reverse question, and in doing so they solve for time in every growth and decay model, tame quantities that span billions, and complete the calculus toolkit with one more derivative and one more integral.

Lesson 1

The Logarithmic Function

Logarithms as exponents, the three laws, solving exponential and logarithmic equations, graphs and their asymptotes, and logarithmic scales like pH, decibels and Richter. Twenty practice questions, ten harder ones, and a ClassPad guide.

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Lesson 2

Calculus of Natural Logarithms

The derivative of ln x, the integral of 1/x that filled the gap left by the power rule, derivatives of ln f(x) and integrals of f′(x)/f(x). Twenty practice questions, ten harder ones, and a ClassPad guide.

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