# 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*...(\text{x times})</math>, then <math>a=b^x</math> | + | *Exponentials: Do you really need this one? If <math>a=b*b*...(\text{x times})...*b</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. | ||

+ | |||

===Rules of Exponentiation and Logarithms=== | ===Rules of Exponentiation and Logarithms=== | ||

<math>a^x \cdot a^y=a^{x+y}</math> | <math>a^x \cdot a^y=a^{x+y}</math> |

## Revision as of 22:30, 29 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. |