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# Logarithms

### Logarithmic Functions and Properties of Loarithms

Term | Definition |
---|---|

Properties of Loarithms | If x,y and b are positive real numbers, b does not =1, and r is a real number then they are true. |

Property of Loarithms | log b xy=log b x+ log b y |

Quotient of Loarithms | log b x/y=log b x-log b y |

Power Property of Loarithms | log b x r =rlog b x |

Other true logarithms 1 | log b 1=0 |

Other true logarithms 2 | log b b x =x |

Other true logarithms 3 | b log b x =x |

Logarithmic Functions | take a one to one function like f(x)=3 x with an inverse, To get the inverse f -1 switch the coordinates in the table of values of f(x)=3 x |

Equation for f -1 | step 1. replace f(x) by y step 2. interchange x and y step 3. solve for y |

Logarithmic Notation | log b x means the power to which b is raised to produce a result of y. log b x=y means b y =x |

Logarithmic | if b>0 and b does not = 1, then y=log b x means x= b y fro every x >0 and every real number y. |

Logarithmic is an exponent | for log 4 16 is the power that we raise 4 in order to get 16 |

Created by:
katieblake