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 transcript:

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

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.

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

Ex 4: 729 = 3 6 Ex 5:

Ex 6: log 2 32 = 5 Ex 7: log 4 2 = ½

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

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

Find x. x = log log 3 x = -3