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Using the Laws of Logarithms
Use the laws of logs to fill in the gaps in the following table:
|Q |Separate logarithmic expressions |Single logarithmic expression |
|Eg. |[pic] |[pic] |
|1 |[pic] | |
|2 |[pic] | |
|3 |[pic] | |
|4 |[pic] | |
|5 |[pic] | |
|6 | |[pic] |
|7 | |[pic] |
|8 | |[pic] |
|9 | |[pic] |
|10 | |[pic] |
Use the change of base formula and your calculators to fill in the gaps in the following table to 2 decimal places:
|Q | |Value |
|Eg. |[pic] |[pic] |
|1 |[pic] |[pic] |
|2 |[pic] |[pic] |
|3 |[pic] |[pic] |
|4 |[pic] |[pic] |
|5 |[pic] |[pic] |
|6 |[pic] |[pic] |
|7 |[pic] |[pic] |
|8 |[pic] |[pic] |
|9 |[pic] |[pic] |
|10 |[pic] |[pic] |
Use the change of base formula and your calculators to fill in the gaps in the following table to 2 decimal places:
Q | |Value |Q | |Value | |1 |[pic] |1.58 |6 |[pic] |4.15 | |2 |[pic] |5.48 |7 |[pic] |-1.64 | |3 |[pic] |0.36 |8 |[pic] |-0.51 | |4 |[pic] |2.65 |9 |[pic] |-4.29 | |5 |[pic] |0.46 |10 |[pic] |1.71 | |
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