document.write( "Question 571283: How do you find the smallest power of 0.917 that yields a value less than 0.10. The answer book says 27 (rounded up). How did they get that? \n" ); document.write( "

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How do you find the smallest power of 0.917 that yields a value less than 0.10. The answer book says 27 (rounded up). How did they get that.
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\n" ); document.write( ".917^x<0.10
\n" ); document.write( "Take log of both sides
\n" ); document.write( "xlog(.917)\n" ); document.write( "divide both sides by log(.917) and reverse inequality signs (note: both logs<0)
\n" ); document.write( "x>log(0.10)/log(.917)
\n" ); document.write( "Using calculator
\n" ); document.write( "x>26.574..
\n" ); document.write( "The smallest power of 0.917 that yields a value less than 0.10≈27 \n" ); document.write( "

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