document.write( "Question 1022326: Solve- 7e^3x + 5 = 40
\n" ); document.write( "* round to the nearest thousandth
\n" ); document.write( "* must be an algebraic solution \n" ); document.write( "

Algebra.Com's Answer #638017 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+7%2Ae%5E%283x%29+%2B+5+=+40+\"$
\n" ); document.write( " $\"+7%2Ae%5E%283x%29+=+35+\"$
\n" ); document.write( " $\"+e%5E%283x%29+=+5+\"$
\n" ); document.write( "Take the natural log of both sides
\n" ); document.write( " $\"+3x+=+ln%285%29+\"$
\n" ); document.write( " $\"+x+=+%281%2F3%29%2Aln%285%29+\"$
\n" ); document.write( " $\"+x+=+1.60944%2F3+\"$
\n" ); document.write( " $\"+x+=++.536+\"$
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+7%2Ae%5E%283x%29+%2B+5+=+40+\"$
\n" ); document.write( " $\"+7%2Ae%5E%283%2A.536%29+%2B+5+=+40+\"$
\n" ); document.write( " $\"+7%2Ae%5E1.608+%2B+5+=+40+\"$
\n" ); document.write( " $\"+7%2A4.993+%2B+5+=+40+\"$
\n" ); document.write( " $\"+34.95+%2B+5+=+40+\"$
\n" ); document.write( " $\"+39.95+=+40+\"$
\n" ); document.write( "error due to rounding off \n" ); document.write( "

\n" );