document.write( "Question 29774: Solve for x to four decimal places: e^2x =3 \n" ); document.write( "

Algebra.Com's Answer #16465 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

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e^2x =3 ----(1)
\n" ); document.write( "Applying definition:
\n" ); document.write( "log(N) to base b = p implies and is implied by N = (b)^p
\n" ); document.write( "and here N=3, b= e the Napierian base and p = 2x
\n" ); document.write( "Therefore (1) implies
\n" ); document.write( "log(3) to the base e is =(2x)
\n" ); document.write( "That is (1.0986) = 2x
\n" ); document.write( "(from the tables under natural logarithms you will find log(3.0) = 1.0986)
\n" ); document.write( "2x= 1.0986
\n" ); document.write( "x = 1.0986/2 = 0.5493
\n" ); document.write( "Answer: x = 0.5493 \n" ); document.write( "

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