document.write( "Question 29308: Condense the expression:
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document.write( "1/3 log(base5)8 - 1/2 log(base5)x + 4 log (base5)y\r
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document.write( "Please help me solve this. Thank You for your time. \n" );
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Algebra.Com's Answer #16136 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Condense the expression: \n" ); document.write( "1/3 log(base5)8 - 1/2 log(base5)x + 4 log (base5)y \n" ); document.write( "since all logs are to same base 5 let us omit it for convenience. \n" ); document.write( "USE THE FORMULAE \n" ); document.write( "LOG(XY)=LOG(X)+LOG(Y)......LOG(X/Y)=LOG(X)-LOG(Y)....LOG(X^N)=N*LOG(X)... \n" ); document.write( "1/3 log(base5)8 - 1/2 log(base5)x + 4 log (base5)y \n" ); document.write( "=LOG(8)^(1/3)-LOG(X)^(1/2)+LOG(Y)^4 \n" ); document.write( "=LOG{2*Y^4/X^0.5)}...SINCE..8^(1/3)=2...(2^3=8) \n" ); document.write( "=LOG (BASE5){2*Y^4/X^0.5)}... \n" ); document.write( " |