10.14 Applications of Logarithms. Ex 1) Solve log x = 3.7135 Round to 4 decimal places Remember: Common log = base 10 log 6 = log 10 6 x = 5170.1126.

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Presentation transcript:

10.14 Applications of Logarithms

Ex 1) Solve log x = Round to 4 decimal places Remember: Common log = base 10 log 6 = log 10 6 x =

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

Ex 3) Solve base down low Can’t write as same base Write in log form

Ex 4) Solve a) Calculation-ready form b) Round to 4 decimal places a) b) or

Ex 5) Solve a) Calculation-ready form b) Round to 4 decimal places Take log of both sides Don’t forget ( ) Distribute Get terms with x on same side of =

Ex 5) Solve a) a) Calculation-ready form b) Round to 4 decimal places b) Factor out x or Solve for x Put in calc with ( ) around denom ( )

Ex 6) Solve a) a) Calculation-ready form b) Round to 4 decimal places b) You don’t need logs!!

Homework #1014 Applications of Logarithms