document.write( "Question 606413: I need to evaluate log 0.001 without a calculator, but how? \n" ); document.write( "

Algebra.Com's Answer #382049 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Evaluate:
\n" ); document.write( " $\"Log%5B10%5D%280.001%29\"$ First, rewrite $\"0.001\"$ as $\"10%5E%28-3%29\"$
\n" ); document.write( " $\"Log%5B10%5D%2810%5E%28-3%29%29\"$ Now apply the \"power rule\" for logarithms: $\"Log%5Bb%5D%28M%5En%29+=+n%2ALog%5Bb%5D%28M%29\"$ to get:
\n" ); document.write( " $\"-3Log%5B10%5D%2810%29\"$ then substitute $\"Log%5B10%5D%2810%29+=+1\"$
\n" ); document.write( " $\"-3%2A1+=+-3\"$ so...
\n" ); document.write( " $\"Log%5B10%5D%280.001%29+=+-3\"$ \n" ); document.write( "

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