Quantitative Aptidue,Logarithms and Exponentials questions
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Placement papers for Logarithms and Exponentials

Logarithms- Keynotes

Logarithms- Keynotes-aptitude-questions-answers-basics

     Logarithms  Aptitude basics, practice questions, answers and explanations 
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1.If x,a and m are any three numbers connected by the relation:

m=a    (a>0, a≠1), then,

?x? is defined as the logarithm of ?m? to the base ?a? and is written as:

x= loga m

2.Some important results:

(a) m =a log am

(b) x =log a (ax)

(c) log a 1 = 0

3.Some important theorems:

(a) log a (mn) = log a m + log a n

(b) log a (m/n) = log a m ? log a n

(c) log a (mn) = n. log a m

(d) log a m = (log b m) / (log b a) ??. Change of base theorem

(e) log a a  = 1

(f) log a b * log b a = 1