document.write( "Question 1201530: I have to simplify the following - all base 10 logarithms:\r
\n" ); document.write( "\n" ); document.write( "log(a)-1/2log(4a)\r
\n" ); document.write( "\n" ); document.write( "I get this far:\r
\n" ); document.write( "\n" ); document.write( "log(a) - log(4a)^1/2\r
\n" ); document.write( "\n" ); document.write( "log[a/(4a)^1/2]\r
\n" ); document.write( "\n" ); document.write( "but then I get stuck!
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Algebra.Com's Answer #835945 by mccravyedwin(409)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "It may be that your instructions were to write this as a single log.\r\n" );
document.write( "Always be sure to list the exact instructions given:\r\n" );
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document.write( "Usually the instruction for this sort of log problem will be to expand as\r\n" );
document.write( "far as possible, or to write as a single log. \"To simplify\" is a bit\r\n" );
document.write( "ambiguous in log problems of this type.\r\n" );
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document.write( "log(a)-1/2log(4a)\r\n" );
document.write( "I get this far:\r\n" );
document.write( "log(a) - log(4a)^1/2\r\n" );
document.write( "log[a/(4a)^1/2]\r\n" );
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document.write( "Then you can continue this way:\r\n" );
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document.write( "\"log%28%28%28a%5E%22%22%29%2F%284%5E%221%2F2%22a%5E%221%2F2%22%29%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"log%28%28%28a%5E1%29%2F%282a%5E%221%2F2%22%29%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"log%28%28%28a%5E%222%2F2%22%29%2F%282a%5E%221%2F2%22%29%29%29%29\"\r\n" );
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document.write( "Subtract exponents of a:\r\n" );
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document.write( "\"log%28%28%28a%5E%221%2F2%22%29%2F%282%5E%22%22%29%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"log%28%28sqrt%28a%29%2F2%29%29\"\r\n" );
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document.write( "I notice now that this is identical with Theo's solution, which\r\n" );
document.write( "wasn't there before.\r\n" );
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document.write( "Edwin

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