APPLICATIONS OF NATURAL LOGARITHMS. DO NOW 1.Solve 2 x = 30 2.Solve 5 x = 212 3.Solve 10 2X = 52 4.Solve 3(2 x+4 ) = 350 2.866 0.858 3.328 4.907.

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Presentation transcript:

APPLICATIONS OF NATURAL LOGARITHMS

DO NOW 1.Solve 2 x = 30 2.Solve 5 x = Solve 10 2X = 52 4.Solve 3(2 x+4 ) =

RICHTER SCALE GIVEN: R = log(I) And R = = log I CONVERT TO EXPONENTIAL FORM WHAT IS MY b, x, and N? b = 10 x = 6.7 N = I EXPONENTIAL FORM: b x = N = I I =

GIVEN: R = log(I) And R = = log I CONVERT TO EXPONENTIAL FORM WHAT IS MY b, x, and N? b = 10, x = 6.2, N = I EXPONENTIAL FORM: b x = N = I I = WHAT IS THE RATIO OF NORTHRIDGE TO LONG BEACH?

PRACTICE #25 ON HANDOUT COMPARE ANSWERS WITH SHOULDER PARNTER ANSWER = 100

CONTINUOUSLY COMPOUNDED INTEREST WHAT IS IT??? The process of earning interest on top of interest. The interest is earned constantly, and immediately begins earning interest on itself.

PRACTICE #3 AND 4 ON HANDOUT COMPARE ANSWERS WITH SHOULDER PARNTER ANSWERS:

NEWTON’S LAW OF COOLING

BONUS PROBLEMS