document.write( "Question 68563: with the exponet of 5 radical sign over 125/.55 show process using logarithms (sorry index of 5) \n" ); document.write( "
Algebra.Com's Answer #48786 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
with the exponet of 5 radical sign over 125/.55 show process using logarithms (sorry index of 5)\r\n" );
document.write( "\"root%285%2C125%2F.55%29\" =\r\n" );
document.write( "\"%28125%2F.55%29%5E%281%2F5%29\" =\r\n" );
document.write( "Now use the principle that \"X+=+10%5E%28log%28X%29%29\" to rewrite the above:\r\n" );
document.write( "10^\"log%28%28125%2F.55%29%5E%281%2F5%29%29\"\r\n" );
document.write( "Now use the principle that \"log%28X%5EN%29+=+N%2Alog%28X%29\" to rewrite \r\n" );
document.write( "the exponent of 10:\r\n" );
document.write( "10^\"%281%2F5%29log%28%28125%2F.55%29%29\"\r\n" );
document.write( "Now use the principle \"log%28X%2FY%29+=+log%28X%29-log%28Y%29\" to rewrite\r\n" );
document.write( "the above as:\r\n" );
document.write( "\r\n" );
document.write( "10^\"%281%2F5%29%28log%28125%29-log%28.55%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Now use a calculator to get log(125) = 2.096910013 and\r\n" );
document.write( "log(.55) = -.2596373105\r\n" );
document.write( "\r\n" );
document.write( "10^\"%281%2F5%29%282.096910013-%28-.2596373105%29%29\"\r\n" );
document.write( "or\r\n" );
document.write( "10^\"%281%2F5%29%282.096910013%2B.2596373105%29\"\r\n" );
document.write( "or\r\n" );
document.write( "10^\"%281%2F5%29%282.356547324%29\" \r\n" );
document.write( "or\r\n" );
document.write( "10^\"%28.4713094647%29\"\r\n" );
document.write( "or\r\n" );
document.write( "2.960121005\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );