Applications of Exponentials and Logs

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• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Use the change of base formula and your calculator to approximate the log.

• A
• B
• C
• D

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• 5log₅a - 6log₅b
• 5log₅a - 30log₅b
• 5log₅a + 30log₅b
• 30log₅b - 5log₅a 

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• A
• B
• C
• D

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• A
• B
• C
• D

Expand the logarithm.

• A
• B
• C
• D

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2010?

• $344,022

• $331,500

• $15,000

• $28,500

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 19 to 20 hours
• 10 to 20 hours
• 15 to 16 hours
• 5 to 6 hours

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

• 29 to 30 years
• 23 to 24years
• 15 to 16 years
• 19 to 20 years

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x