======Arithmetic====== ====add, subtract==== ====multiply, divide==== ====exponent, logarithm==== ===Exponent=== 2 raised to the power of 3 = 8 \\ 2 times itself three times = 8 \\ 2 * 2 * 2 = 8 \\ 2 is the base \\ 3 is the exponent \\ 8 is the result \\ ===Logarithm=== logarithm is the reverse \\ what is the exponent? \\ Given the base and the result, what is the exponent? \\ what power of 2 gives 8? \\ what exponent of 2 gives 8? \\ to what power must I raise 2 to get 8? \\ $\log_2(8) = ?$ \\ \begin{align} 2^3 &= 8 && \text{exponential equation} \\ \log_2(8) &= 3 && \text{logarithmic equation} \\ \\ 2^3 = 8 &\implies \log_2(8) = 3 \\ \end{align} ===Advanced Topics=== logarithmic scale \\ natural logs \\ ====fractions, decimals====