Evaluating logarithms using change-of-base formula

Lessons

• 1.
  How to apply $``$change-of-base rule$"$
  

  
  Express $\log_53$ in three different ways.
  

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• 2.
  Using a calculator, evaluate the following logarithms
  by applying $``$ change-of-base rule$":$
  
  a)

  $\log_53$
  
  
  
  b)

  $\log_7\sqrt{416}$
  
  
  
  c)

  $\log_2\frac{7}{25}$
  
  
  
  d)

  6$\log_4999$
  
  
  

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• 3.
  Using a calculator, solve for $x$ to the nearest hundredth.
  
  a)

  $\log_6x = log_7 8$
  
  
  
  b)

  $\log_{23}5 = log_x\sqrt{0.104}$
  
  
  

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