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! \n" ); document.write( "
Algebra.Com's Answer #852277 by MathTherapy(10557)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "I have to simplify the following - all base 10 logarithms:\r\n" );
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" );
document.write( "but then I get stuck!\r\n" );
document.write( "log(a) - \"log%28%284a%29%29%5E%281%2F2%29\"___\"log%28%28a%2Fmatrix%282%2C1%2C+%22+%22%2C+%284a%29%5E%281%2F2%29%29%29%29\" <=== I got this far, but then I get stuck!\r\n" );
document.write( "log(a) - \"log%28%284a%29%29%5E%281%2F2%29\" <==== Picking up from HERE!!\r\n" );
document.write( "log(a) - \"log%28%28sqrt%284a%29%29%29\"\r\n" );
document.write( "log(a) - (\"log%28%28sqrt%284%29%29%29+%2A+%28sqrt%28a%29%29\")\r\n" );
document.write( "log(a) - (\"log%28%282%29%29+%2A+%28sqrt%28a%29%29\")\r\n" );
document.write( "log(a) - \"log%28%282sqrt%28a%29%29%29\"\r\n" );
document.write( "log \"%28a%2F%282sqrt%28a%29%29%29\"\r\n" );
document.write( "log (\"%28a%2Asqrt%28a%29%29%2F%282sqrt%28a%29sqrt%28a%29%29\") ----- RATIONALIZING denominator\r\n" );
document.write( "log (\"%28a%2Asqrt%28a%29%29%2F%282a%29\") ====> log (\"%28cross%28a%29%2Asqrt%28a%29%29%2F%282cross%28a%29%29\") ====>
\n" ); document.write( "
\n" );