# User:Temperal/The Problem Solver's Resource2

## Exponentials and LogarithmsThis is just a quick review of logarithms and exponents; it's elementary content. ## Definitions- Exponentials: Do you really need this one?
- Logarithms: If , . Note that a logarithm in base e, i.e. is notated as , or the natural logarithm of x. If no base is specified, then a logarithm is assumed to be in base 10.
## Rules of Exponentiation and Logarithms
=a^{x-y}$$ (Error compiling LaTeX. ! Missing $ inserted.)a^0=1a\ne 0\log_b xy=\log_b x +\log_b y $$ (Error compiling LaTeX. ! Missing $ inserted.)\log_b x^y=y\cdot \log_b x $$ (Error compiling LaTeX. ! Missing $ inserted.)\log_b \frac{x}{y} =\log_b x-\log_b y$$ (Error compiling LaTeX. ! Missing $ inserted.)\log_b a=\frac{1}{\log_a b}$$ (Error compiling LaTeX. ! Missing $ inserted.)\log_b b=1$$ (Error compiling LaTeX. ! Missing $ inserted.)\log_b a=\frac{\log_x a}{\log_x b}\log_1 a\log_0 a$ are undefined. |