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# Module 25

### Study Stack for module 25, math 113, andrea lazarski, online

Question | Answer |
---|---|

Use a calculator to find log(38) | punch into calculator and round to four decimal points =(approx)1.5798 |

What is the change of base property? | log_ba=log_ca/log_cb |

Solve log_53 | use the change of base property log3/log5, use a calculator and round to four decimal points log5_3=(approx)0.6826 |

solve 3^x=7 | use the logarithm property of equality log3^x=log7 xlog3=log7 x=log7/log3 approximate to four decimal place =(approx)1.7712 |

What does log_b^x=y also mean? | b^y=x, also known as exponential form |

Solve log_6x+log_6(x-9)=2 | because the bases are the same you can use the product property. log_6(x^2-9x)=2 then put in exponential form end product is x=12 |

what does the quotient property refer to? | When solving for a log with the same base that are begin subtracted divide the two |

what is the first step you do when graphing log_12x? | Put in exponential form 12^y=x |

Solve ln x=3.1 | the find solution, write equation in exponential form x=e^3.1 =approx 22.1980 |

what is the base of a common logarithm? | 10 |

Created by:
megan.m