document.write( "Question 34520: solve this exponential equation to the nearest hundreth\r
\n" ); document.write( "\n" ); document.write( "2e^4x=8\r
\n" ); document.write( "\n" ); document.write( "help :( \n" ); document.write( "

Algebra.Com's Answer #20792 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"2e%5E%284x%29+=+8\"$ Divide both sides by 2.
\n" ); document.write( " $\"e%5E%284x%29+=+4\"$ Take the natural log (ln) of both sides.
\n" ); document.write( " $\"ln%28e%5E%284x%29%29+=+ln%284%29\"$ Simplify.
\n" ); document.write( " $\"4x%2Aln%28e%29+=+ln%284%29\"$ But ln(e) = 1
\n" ); document.write( " $\"4x+=+ln%284%29\"$
\n" ); document.write( " $\"x+=+%28ln%284%29%29%2F4\"$
\n" ); document.write( " $\"x+=+0.35\"$ \n" ); document.write( "

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