Introduction to logs

1. 1Plot the following points on the number line:
   3, 9, 1/3, 1, 1/9
   
   What do you notice about the way the points are distributed along the line?

   

   1. A1
   2. B3
   3. C9
   4. D1/9
   5. E1/3
2. 2Plot the following points on the number line
   \( \log_3\ 3, \log_3\ 9, \log_3\ \frac{1}{3}, \log_3\ \frac{1}{9}, \log_3\ 1 \)
   
   What do you notice about the way the points are distributed along the line?

   

   1. A\( \log_3\ \frac{1}{9} \)
   2. B\( \log_3\ \frac{1}{3} \)
   3. C\( \log_3\ 1 \)
   4. D\( \log_3\ 3 \)
   5. E\( \log_3\ 9 \)
3. 3\( \log_2\ x < \log_3\ x \)

   1. Aalways true
   2. Bsometimes true
   3. Cnever true
4. 4Simplify
   \( 2\log_a\ x + \log_a\ 5 \)

   1. A\( \log_a\ (x^2 + 5) \)
   2. B\( log_a ( 5x^2 ) \)
   3. C\( 2\log_a\ ( 5x ) \)

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Quiz on Introduction to logs, created by Sally Everitt on 15/09/2020.

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Sally Everitt

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