document.write( "Question 591535: Mr. Jellyby was working with transformations of exponential functions when he believed he made a discovery. He found out thatall exponential functions b^x could be written as e^nx, where the value of n dependedon the value of b.
\n" ); document.write( "a. For b=2, slove for n ( that is, solve for n in the equation 2^x=e^nx.)
\n" ); document.write( "b Write a formula to determine n given any b. \n" ); document.write( "

Algebra.Com's Answer #375711 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a. For b=2, solve for n ( that is, solve for n in the equation 2^x=e^nx.)
\n" ); document.write( " $\"2%5Ex+=+e%5E%28nx%29\"$
\n" ); document.write( " $\"ln%282%5Ex%29+=+ln%28e%5E%28nx%29%29\"$
\n" ); document.write( "log equiv of exponents, ln(e) = 1
\n" ); document.write( "x*ln(2) = nx
\n" ); document.write( "divide both side by x
\n" ); document.write( "ln(2) = n
\n" ); document.write( "n = .693
\n" ); document.write( ":
\n" ); document.write( "b Write a formula to determine n given any b.
\n" ); document.write( "n = ln(b) \n" ); document.write( "

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