document.write( "Question 46292: Expand:
\n" ); document.write( "log10 4th root of (y^3/20x^5) \n" ); document.write( "
Algebra.Com's Answer #30718 by AnlytcPhil(1807)\"\" \"About 
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document.write( "Expand:\r\n" );
document.write( "log10 4th root of (y^3/20x^5)\r\n" );
document.write( "          _________\r\n" );
document.write( "         /   y3 \r\n" );
document.write( "log10\ 4/  -------\r\n" );
document.write( "      \/    20x5\r\n" );
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document.write( "Write the 4th root as the 1/4th power\r\n" );
document.write( "           _ \r\n" );
document.write( "     |¯ y3  |1/4 \r\n" );
document.write( "log10|------|\r\n" );
document.write( "     |_20x5 |\r\n" );
document.write( "           ¯ \r\n" );
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document.write( "Use the rule logbac = c·logba\r\n" );
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document.write( "               _ \r\n" );
document.write( "         |¯ y3  | \r\n" );
document.write( "1/4·log10|------|\r\n" );
document.write( "         |_20x5 |\r\n" );
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document.write( "Use the rule logb(a/c) = logba - logbc\r\n" );
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document.write( "1/4[log10y3 - log10(20x5)]\r\n" );
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document.write( "Use the rule logb(ac) = logba + logbc\r\n" );
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document.write( "1/4[log10y3 - (log1020 + log10x5)]\r\n" );
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document.write( "Remove the parentheses\r\n" );
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document.write( "1/4[log10y3 - log1020 - log10x5]\r\n" );
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document.write( "Use the rule logbac = c·logba on 1st and 3rd terms:\r\n" );
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document.write( "1/4[3·log10y - log1020 - 5·log10x]\r\n" );
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document.write( "Write the 20 as (2·10)\r\n" );
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document.write( "1/4[3·log10y - log10(2·10) - 5·log10x]\r\n" );
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document.write( "Use the rule logb(ac) = logba + logbc on middle term\r\n" );
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document.write( "1/4[3·log10y - (log102 + log1010) - 5·log10x]\r\n" );
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document.write( "Remove the parentheses:\r\n" );
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document.write( "1/4[3·log10y - log102 - log1010 - 5·log10x]\r\n" );
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document.write( "Use the rule logbb = 1 on third term:\r\n" );
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document.write( "1/4[3·log10y - log102 - 1 - 5·log10x]\r\n" );
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document.write( "Edwin

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