document.write( "Question 474696: 6.02x10^-4=0.153^-N
\n" ); document.write( "I cannot remember how to derive N from this. \n" ); document.write( "

Algebra.Com's Answer #325544 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You would use logarithms:
\n" ); document.write( " $\"6.02X10%5E%28-4%29+=+0.153%5E%28-N%29\"$ Take the log (common) of both sides.
\n" ); document.write( " $\"Log%5B10%5D%286.02X10%5E%28-4%29%29+=+Log%5B10%5D%280.153%5E%28-N%29%29\"$ Apply the \"power rule\" to the right side.
\n" ); document.write( " $\"Log%5B10%5D%286.02X10%5E%28-4%29%29+=+-N%2ALog%5B10%5D%280.153%29\"$ Divide both sides by $\"Log%5B10%5D%280.153%29\"$
\n" ); document.write( " $\"-N+=+%28Log%286.02X10%5E%28-4%29%29%29%2F%28Log%280.153%29%29\"$ Evaluate using your calculator.
\n" ); document.write( " $\"-N+=+3.9429\"$ so...
\n" ); document.write( " $\"N+=+-3.943\"$ Rounded. \n" ); document.write( "

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