document.write( "Question 153504: Solve the exponential equation e^x+3=8: Express the solution as a natural logarithm. \n" ); document.write( "

Algebra.Com's Answer #112994 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( " $\"e%5Ex%2B3+=+8\"$ Subtract 3 from bth sides.
\n" ); document.write( " $\"e%5Ex+=+5\"$ Take the natural log of both sides.
\n" ); document.write( " $\"ln%28e%5Ex%29+=+ln%285%29\"$ Apply the power rule for logs to the left side: $\"log%28M%5En%29+=+n%2Alog%28M%29\"$
\n" ); document.write( " $\"x%2Aln%28e%29+=+ln%285%29\"$ Substitute $\"ln%28e%29+=+1\"$
\n" ); document.write( " $\"x+=+ln%285%29\"$ \n" ); document.write( "

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