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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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