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 #824881 by greenestamps(13200) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "You make a lot of extra unnecessary work by immediately taking logs of both sides, as the other tutor did. Make the work MUCH easier by first dividing both sides by 400.

\n" ); document.write( " $\"200=400e%5E%28-0.0052x%29\"$
\n" ); document.write( " $\"e%5E%28-0.0052x%29=0.5\"$

\n" ); document.write( "NOW take logs of both sides

\n" ); document.write( " $\"-0.0052x=ln%280.5%29\"$
\n" ); document.write( " $\"x=ln%280.5%29%2F-0.0052\"$ = 133.30 to 2 decimal places

\n" ); document.write( "ANSWER: 133.30

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