# Difference between revisions of "User:Temperal/The Problem Solver's Resource2"

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This is just a quick review of logarithms and exponents; it's elementary content. | This is just a quick review of logarithms and exponents; it's elementary content. | ||

===Definitions=== | ===Definitions=== | ||

− | *Exponentials: Do you really need this one? If <math>a=b*b*... | + | *Exponentials: Do you really need this one? If <math>a=\underbrace{b*b*b*...*b}_{x\text{ }b'\text{s}}</math>, then <math>a=b^x</math> |

*Logarithms: If <math>b^a=x</math>, <math>\log_b{x}=a</math>. Note that a logarithm in base [[e]], i.e. <math>\log_e{x}=a</math> is notated as <math>\ln{x}=a</math>, or the natural logarithm of x. If no base is specified, then a logarithm is assumed to be in base 10. | *Logarithms: If <math>b^a=x</math>, <math>\log_b{x}=a</math>. Note that a logarithm in base [[e]], i.e. <math>\log_e{x}=a</math> is notated as <math>\ln{x}=a</math>, or the natural logarithm of x. If no base is specified, then a logarithm is assumed to be in base 10. | ||

## Revision as of 15:03, 30 September 2007

## Exponentials and LogarithmsThis is just a quick review of logarithms and exponents; it's elementary content. ## Definitions- Exponentials: Do you really need this one? If , then
- 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
, where .
, where x is a constant. and are undefined. |