Wednesday, February 25, 2009

Question on Logarithm

Topic : Error Analysis

Question : Find the error in the following evaluation. Then evaluate the logarithm correctly.

\log_{27}3=
Solution :
Error is determined from second step.
According to logarithm rule,
\log_b{a}=
=> 3x = 1
=> x = ⅓
So x = 1/3 not 3
For Verification now (27)^⅓ = 3 which is ‘a’


Hope the Simplification and explanation help you to understand similar kind of problems and solve them easily.

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