evaluate I) log 8* log 9/log 27
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Answer:
Log 4
Step-by-step explanation:
Log 8 × log 9/ log 27
Log 8 is the same as log 2³
Log 9 is the same as log 3²
Log 27 is the same as log 3³
But we can also write them in the form
3 log 2 ,2log 3 and 3 log 3 hence
2 log 3 × 3 log 2/ 3 log 3
We can therefore cancel out the threes to remain with 2 log 2 which is equal to log 4
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