document.write( "Question 542546: I need help on how to solve this and how to solve this with a calculator. Can someone please help me?
\n" ); document.write( "2.0e^(-1.5x)=1 \n" ); document.write( "

Algebra.Com's Answer #354626 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"2.0e%5E%28-1.5x%29+=+1\"$ First, divide both sides by 2.
\n" ); document.write( " $\"e%5E%28-1.5x%29+=+1%2F2\"$ Substitute $\"1%2F2+=+0.5\"$
\n" ); document.write( " $\"e%5E%28-1.5x%29+=+0.5\"$ Now take the natural logarithm of both sides.
\n" ); document.write( " $\"ln%28e%5E%28-1.5x%29%29+=+ln%280.5%29\"$ Apply the \"power rule\" to the left side.
\n" ); document.write( " $\"-1.5xln%28e%29+=+ln%280.5%29\"$ Substitute $\"ln%28e%29+=+1\"$
\n" ); document.write( " $\"-1.5x+=+ln%280.5%29\"$ Divide both sides by -1.5
\n" ); document.write( " $\"x+=+ln%280.5%29%2F-1.5\"$ Evaluate.
\n" ); document.write( " $\"x+=+0.4621\"$ Approx. \n" ); document.write( "

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