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Aptitude miscellaneous
  1. The simplified form oflog
    75
    		 - 2log
    5
    		 + log
    32
    		 is :
    169243

    1. log 2
    2. 2log 2
    3. log 3
    4. log 5
Correct Option: A

Given that , Log
75
 - 2 Log
5
 + Log
32
169243

= Log
5² × 3
 - 2 Log
5
 + Log
25
243235

Using given formula , log
a
 = log a - log b and log ( ab ) = log a + log b
b

Required answer = 2Log 5 + Log 3 – 4Log 2 – 2Log 5 + 4Log 3 + 5Log 2 – 5Log 3 = Log 2


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