document.write( "Question 29822: Write an exponential form: t=log[99^s] \n" ); document.write( "

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Write an exponential form: t=log[99^s]\r
\n" ); document.write( "\n" ); document.write( "t=log[99^s] implies (99^s)=(e)^t if we are working out problems in calculus
\n" ); document.write( "t=log[99^s] implies (99^s)=(10)^t if we are working out numerical problems \r
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\n" ); document.write( "\n" ); document.write( "Note: In problems of this variety the base has to be mentioned.
\n" ); document.write( "Otherwise the base when mentioned is taken to be the Naperian base e which is an irrational number more than 2 and less than 3. When e is the base the logarithm we are talking about is referred to as Natural logarithm. we consider natural logarithms while working out problems in calculus.
\n" ); document.write( "For numerical calculations if the base is not mentioned,it is taken to be 10 and the logarithm is referred to as common logarithm.
\n" ); document.write( "The definition of logarithm of a strictly positive number N to a given base b is defined as the power p to which the base has to be raised to give the number.
\n" ); document.write( "log(N) to the base b is = p implies and is implied by N=(b)^p \n" ); document.write( "

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