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Today’s Date: 3/25/11 10.6 Applications of Logarithms

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Antilog (Base 10) If log y = x then y is antilog of x y = antilog x y = 10 x Common log = base 10 log 6 = log 10 6 Write → Example 1) log y = 3.7135 y = antilog 3.7135 y = 10 3.7135 = 5170

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Change-of-Base Formula base down low use your calculator base 10 Example 2) log button on your calculator is base 10

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Change-of-Base Formula base down low Write in log form Example 2b)

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T.O.O. #1 – 9 do the same way

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Solve each equation using Change-of-Base Formula a) a) Calculation-ready form b) Solution to 3 significant digits b) a) b) or #11-13, 17, 19, 23 do same way

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Solve each equation using Change-of-Base Formula a) a) Calculation-ready form b) Solution to 3 significant digits b) #15, 16, 22 Do same way

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Solve each equation using Change-of-Base Formula a) Calculation-ready form b) Solution to 3 significant digits Take log of both sides Don’t forget ( ) Distribute Get terms with x on same side of =

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Solve each equation using Change-of-Base Formula a) a) Calculation-ready form b) Solution to 3 significant digits b) Factor out x or Solve for x Put in calc with ( ) around denom ( )

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Homework #1012 Finish 10.6 Worksheet #20, 21, 25 use change of base & #25 THINK!

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Solving Logarithmic Equations To solve today's equations, we are going to rewrite them in exponential form and use the methods learned in the last unit.

Solving Logarithmic Equations To solve today's equations, we are going to rewrite them in exponential form and use the methods learned in the last unit.

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