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| |Pre-Calculus 12: | |

| |Ch. 8 - Extra Review | |

1. Evaluate:

|a. [pic] |b. [pic] |c. [pic] |

2. Convert:

|a. Write in logarithmic form: |b. Write in exponential form: |

|[pic] |[pic] |

3. Write as a single logarithm:

|a. [pic] |b. [pic] |

4. Write in terms of [pic] and [pic]:

|a. [pic] |b. [pic] |

5. If log 2 = a and log 3 = b, express log 24 in terms of a and b.

Solve Questions # 6 – 10 using logarithms.

6. A car is purchased for $25 000. It depreciates in value 8% per year. How long does it take for the car to reduce in value to 10% of its original price?

7. Currently in BC there are 200 000 fans interested in the Vancouver Canucks. This population is expected to double every 6 weeks. How long will it take for the population to reach 1 000 000?

8. Epp(m) is a radioactive material. 60 days ago there was a sample of 150 grams in a Petrie dish, now there is only 10 grams. What is the half-life of Epp(m)?

9. In 1996 an earthquake has a magnitude of 4.6 on the Richter scale. Five years later another earthquake was 50 times as intense. What was its magnitude?

10. A population of cats multiplies 6-fold in 4 years. After 20 years, how many times as great is the population as it is after 8 years?

Solutions: [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic]

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