document.write( "Question 824341: Given that log (base 7)x^2 = p and log (base 7) xy^2 = q, find log (base 7) (cube root over xy) in terms of p and q.
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Algebra.Com's Answer #496329 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Given that \"log%287%2C%28x%5E2%29%29+=+p\" and \"log%287%2C%28xy%5E2%29%29+=+q\", find \"log%287%2C%28root%283%2Cxy%29%29%29\" in terms of p and q.
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document.write( "\"log%287%2C%28x%5E2%29%29+=+p\"        \"log%287%2C%28xy%5E2%29%29+=+q\"\r\n" );
document.write( " \"2log%287%2C%28x%29%29+=+p\"       \"log%287%2C%28x%29%29%2Blog%287%2C%28y%5E2%29%29=q\"\r\n" );
document.write( "\"log%287%2C%28x%29%29+=+p%2F2\"         \"log%287%2C%28x%29%29%2B2log%287%2Cy%29=q\"\r\n" );
document.write( "             \r\n" );
document.write( "                    \"p%2F2%2B2log%287%2Cy%29=q\"\r\n" );
document.write( "                    \"p%2B4log%287%2Cy%29=2q\"\r\n" );
document.write( "                    \"4log%287%2Cy%29=2q-p\"\r\n" );
document.write( "                    \"log%287%2Cy%29=%282q-p%29%2F4\"\r\n" );
document.write( "\r\n" );
document.write( "We want to find:\r\n" );
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document.write( "\"log%287%2C%28root%283%2Cxy%29%29%29%29\" =\r\n" );
document.write( "\"matrix%282%2C1%2C%22%22%2Clog%287%2C%28%28xy%29%5E%281%2F3%29%29%29%29%29\" =\r\n" );
document.write( "\"expr%281%2F3%29log%287%2C%28xy%29%29\" =\r\n" );
document.write( "\"expr%281%2F3%29%28log%287%2C%28x%29%29%2Blog%287%2C%28y%29%29%29\" =\r\n" );
document.write( "\"expr%281%2F3%29%28p%2F2%2B%282q-p%29%2F4%29\" =\r\n" );
document.write( "\"expr%281%2F3%29%282p%2F4%2B%282q-p%29%2F4%29\" =\r\n" );
document.write( "\"expr%281%2F3%29%28%282p%2B2q-p%29%2F4%29%29\" =\r\n" );
document.write( "\"expr%281%2F3%29%28%28p%2B2q%29%2F4%29%29\" =\r\n" );
document.write( "\"%28p%2B2q%29%2F12\"\r\n" );
document.write( " \r\n" );
document.write( "Edwin
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