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Ahmed invests $400 into a back account that pays 3.5% interest annually. How long will it take Ahmed’s account to accumulate $500?

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Presentation on theme: "Ahmed invests $400 into a back account that pays 3.5% interest annually. How long will it take Ahmed’s account to accumulate $500?"— Presentation transcript:

1 Ahmed invests $400 into a back account that pays 3.5% interest annually. How long will it take Ahmed’s account to accumulate $500?

2 The logarithm to the base b of a positive number y is defined as follows: If y = b x, then log b y = x Logarithms let us solve for unknown exponents.

3 Ex 1: 3 x = 27 Ex 2: 16 x = 4 Ex 3; 4 x = 8

4 Ex 4: 729 = 3 6 Ex 5:

5 Ex 6: log 2 32 = 5 Ex 7: log 4 2 = ½

6 Ex 8: log 9 3 Ex 9: log 10 10000 Ex 10: log 100 Common Logarithm – A logarithm that uses base 10. The base can be written but does not have to be.

7 Ahmed invests $400 into a back account that pays 3.5% interest annually. How long will it take Ahmed’s account to accumulate $500?

8 Find x. x = log 10 10000 log 3 x = -3


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