document.write( "Question 1192941: Solve for x (round to the nearest hundredth):
\n" ); document.write( "200=400e^-0.0052x \n" ); document.write( "

Algebra.Com's Answer #824869 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"200=400e%5E%28-0.0052x%29\"$ .........take natural log of both sides\r
\n" ); document.write( "\n" ); document.write( " $\"ln%28200%29=ln%28400e%5E%28-0.0052x%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"ln%28200%29=ln%28400%29%2Bln%28e%5E%28-0.0052x%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"ln%282%2A10%5E2%29-ln%284%2A10%5E2%29=%28-0.0052x%29ln%28e%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28-0.0052x%29ln%28e%29=ln%282%29%2Bln%2810%5E2%29-%28ln%282%5E2%29%2Bln%2810%5E2%29%29\"$ ....... $\"ln%28e%29=1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-0.0052x=ln%282%29%2B2ln%2810%29-%282ln%282%29%2B2ln%2810%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-0.0052x=ln%282%29%2B2ln%2810%29-2ln%282%29-2ln%2810%29\"$ ......simplify\r
\n" ); document.write( "\n" ); document.write( " $\"-0.0052x=-ln%282%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=-ln%282%29%2F-0.0052\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=ln%282%29%2F0.0052\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=133.2975347230664\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=133.30\"$ \r
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