# 005 Sample Final A, Question 7

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** Question ** Solve the following equation,

Foundations |
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1) What logarithm rule is relevant for dealing with the coefficients of the logarithms? |

2) How do we remove the logs? |

Answer: |

1) One of the rules of logarithms says that |

2) The definition of logarithm tells us that if , then |

Step 1 |
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Use the rules of logarithms to move the 2 and the 3 to exponents. So |

Step 2 |
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By the definition of logarithm, we find that |

Step 3 |
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Taking the square root of both sides we get |

Final Answer |
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