document.write( "Question 970399: prove that log 2 base 10 greater that 0.3 \n" ); document.write( "

Algebra.Com's Answer #854531 by n2(91) $\"\"$ $\"About$

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\n" ); document.write( "prove that log 2 base 10 $\"highlight%28highlight%28is%29%29\"$ greater $\"highlight%28cross%28that%29%29\"$ than 0.3.
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\n" ); document.write( "\n" ); document.write( "            There is a proof of striking beauty.\r
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\n" ); document.write( "\n" ); document.write( "Start from this inequality 1024 > 1000, which obviously is valid.\r
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\n" ); document.write( "\n" ); document.write( "Rewrite it in the form      $\"2%5E10\"$ > $\"10%5E3\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Take logarithm base 10 of both sides:     10*log(2) > 3.\r
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\n" ); document.write( "\n" ); document.write( "Divide both sides by   10:     log(2) > $\"3%2F10\"$ ,   or     log(2) > 0.3.\r
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\n" ); document.write( "\n" ); document.write( "Thus the statement is proven.\r
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