document.write( "Question 997348: Explain why log[base 40]3 is between ¼ and 1/3 \n" ); document.write( "
Algebra.Com's Answer #615475 by Boreal(15235)\"\" \"About 
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Use change of base formula
\n" ); document.write( "log b (x)=log d (x)/log d (b)
\n" ); document.write( "use 3 as the new base
\n" ); document.write( "log 40 of 3= log 3 (3)/log 3 (40)
\n" ); document.write( "That is 1/log 3(40)
\n" ); document.write( "log 3(27)=3
\n" ); document.write( "log 3(81)=4
\n" ); document.write( "So log 3 (40) is between 3 and 4
\n" ); document.write( "1/log 3 (40) is between 1/3 and 1/4 \n" ); document.write( "
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