document.write( "Question 375403: Inverse of B(t) = e^t \n" ); document.write( "

Algebra.Com's Answer #266966 by nerdybill(7384) $\"\"$ $\"About$

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B(t) = e^t
\n" ); document.write( ".
\n" ); document.write( "set B(t) to y:
\n" ); document.write( "y = e^t
\n" ); document.write( "flip variables
\n" ); document.write( "t = e^y
\n" ); document.write( "solve for y:
\n" ); document.write( "ln(t) = y
\n" ); document.write( ".
\n" ); document.write( "therefore:
\n" ); document.write( " $\"B%5E%28-1%29%28t%29+=+ln%28t%29\"$ \n" ); document.write( "

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