Logs – Part 2

1 / 10

# Logs – Part 2 - PowerPoint PPT Presentation

Logs – Part 2. Review of Logarithms. 3 logarithm shortcuts. 3 logarithm laws. Solving log equations. Solving logarithmic equations takes some instinct, which only comes from practice, but to help you get you started, here is a flowchart with some possibly useful steps.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Logs – Part 2' - earl

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Logs – Part 2

Review of Logarithms

3 logarithm shortcuts

3 logarithm laws

Solving log equations

Solving logarithmic equations takes some instinct, which only comes from practice, but to help you get you started, here is a flowchart with some possibly useful steps.

Applications - Logarithms

Ex 1. A Sidney Crosby rookie card was purchased in 2005 for \$15.00. Its value is set to double every 2 years. When will the card be worth \$90.00?

In 5.17 years, the card is worth \$90.

Applications - Logarithms

Ex 2. A certain radioactive element has a half-life of 8.2 minutes. When will there be 1/10th the original amount?

In this case

y = (1/10)Ao

It will take 27.24 minutes for only 1/10th the original amount to remain.

Applications - Logarithms

Ex 3. Sarah bought a computer for \$2000. Its value depreciates by 18% every two years.

a. By what percentage does it depreciate every year?

r = 1 – 0.18 = 0.82

This means it will be worth 82% of its value after 2 years.

In one year, it went from being worth \$2000 to being worth \$1811.08. Dividing tells us that it is 90.554% of \$2000, or a depreciation of 9.446% in one year.

Applications - Logarithms

Ex 3. Sarah bought a computer for \$2000. Its value depreciates by 18% every two years.

b. When is its value \$99?

In 30.29 years her computer will be worth \$99.