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Logarithm, SMB-024

Solve  `log_9 27=x`  for `x`.  (2 marks)

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`3/2`

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`log_9 27` `=x`  
`9^x` `=27\ \ text{(by log definition)}`  
`log_10 9^x` `=log_10 27`  
`x log_10 9` `=log_10 27`  
`x` `=(log_10 27)/(log_10 9)`  
  `=3/2`  

Filed Under: Logarithms Tagged With: num-title-ct-patha, smc-4243-05-Solve by log definition, smc-4243-70-Solve exponentials

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