Aptitude miscellaneous
 If log 2 = 0.3010, then log 5 equals :

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We can write as ,
Log 5 = log 10 2 Using given formula , log a = log a  log b b
Correct Option: B
We can write as ,
Log 5 = log 10 2 Using given formula , log a = log a  log b b
Log 5 = log 10 – log 2
Log 5 = 1 – 0.3010 = 0.6990

The simplified form of log 75  2log 5 + log 32 is : 16 9 243

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Given that , Log 75  2 Log 5 + Log 32 16 9 243 = Log 5² × 3  2 Log 5 + Log 2^{5} 2^{4} ^{32} 3^{5}
Correct Option: A
Given that , Log 75  2 Log 5 + Log 32 16 9 243 = Log 5² × 3  2 Log 5 + Log 2^{5} 2^{4} ^{32} 3^{5} 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