Exponents: Zero exponent: $a^0 = 1$

Converting from logarithmic form to exponential form

Evaluating logarithms without calculator

Common logarithms

Evaluating logarithms using change-of-base formula

Converting from exponential form to logarithmic form

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Solving logarithmic equations

Evaluating logarithms using logarithm rules

Continuous growth and decay

Finance: Compound interest

Exponents: Product rule $(a^x)(a^y)=a^{(x+y)}$

Exponents: Division rule ${a^x \over a^y}=a^{(x-y)}$

Exponents: Power rule $(a^x)^y = a^{(x\cdot y)}$

Exponents: Negative exponents

Exponents: Rational exponents

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Logarithmic scale: Richter scale (earthquake)

Logarithmic scale: pH scale

Logarithmic scale: dB scale

Finance: Future value and present value