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Logarithms, SMB-001 MC

It is given that  `log_10 a = log_10 b-log_10 c`, where  `a, b, c > 0.`

Which statement is true?

  1. `a = b-c`
  2. `a = b/c`
  3. `log_10 a = b/c`
  4. `log_10 a = (log_10 b)/(log_10 c)`
Show Answers Only

`B`

Show Worked Solution
Mean mark 51%.
COMMENT: Use of log laws here proved difficult for many students.
`log_10 a` `= log_10 b-log_10 c`
`log_10 a` `= log_10 (b/c)`
`:. a` `= b/c`

 
`=>  B`

Filed Under: Logarithms Tagged With: num-title-ct-patha, smc-4243-10-Product/Quotient rules

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