3.4 S OLVING E XPONENTIAL AND L OGARITHMIC E QUATIONS.

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Presentation transcript:

3.4 S OLVING E XPONENTIAL AND L OGARITHMIC E QUATIONS

S OLVING S TRATEGIES

S TRATEGIES FOR S OLVING E XP. AND L OG. E QUATIONS – F LOW C HART YesNo

S OLVING S IMPLE E QUATIONS Complete the classwork worksheet using the One-to- One Properties for Exponentials and Logs

S OLVING L OGARITHMIC E QUATIONS (R EWRITE IN EXPONENTIAL FORM )

S OLVING L OGARITHMIC E QUATIONS

S OLVING E XPONENTIALS – 2 WAYS OF THINKING Method 2: Hit both sides with a common or natural log. Now what do our log properties tell us we can do? How do we solve for x?

S OLVING E XPONENTIAL E QUATIONS e x = 72 3(2 x ) = 24 4 e 2x – 3 = 2

S OLVING E XPONENTIAL E QUATIONS 2(3 2t-5 ) – 4 = 11 e 2x – 3 e x + 2 = 0

S OLVING E XPONENTIAL E QUATIONS

D OUBLING AN I NVESTMENT You have deposited $500 in an account that pays 6.75% interest, compounded continuously. How long will it take for your money to double? Your sister invests $1000 in the same type of account. How long will it take her money to double? Why?

A VERAGE S ALARY FOR T EACHERS