8 – 5 Properties of Logarithms Day 2

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Presentation transcript:

8 – 5 Properties of Logarithms Day 2 Objective: Be able to use the properties of logarithms to solve real life problems. Change of base formula

Change of Base Formula

Example 4: Using the change of base formula

Using Common Logarithms:

Using Natural Logarithms

Example 5: Using Logarithmic Properties in Real Life An ordinary annuity is an account in which you make a fixed deposit at the end of each compounding period. You want to use the annuity to help you save for college. The formula

gives the time t (in years) required to save S dollars in the annuity if your periodic payments P (in dollars) are made n times a year and the annual interest rate is r (in decimal form).

a. Expand the right side of the equation

b. How long will it take you to save $20,000 in annuity that earns an annual interest rate of 5% if you make a monthly payment of $50?

8 – 5 day 2 Home work page 497 56 – 84 even