document.write( "Question 824077: 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.\r
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Algebra.Com's Answer #496058 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+log%28+7%2C+x%5E2+%29+=+p+\"
\n" ); document.write( "I can say:
\n" ); document.write( "\"+7%5Ep+=+x%5E2+\"
\n" ); document.write( "\"+x+=+%28+7%5Ep+%29%5E%281%2F2%29+\"
\n" ); document.write( "(1) \"+x+=+7%5E%28p%2F2%29+\"
\n" ); document.write( "----------------
\n" ); document.write( "\"+log%28+7%2C+x%2Ay%5E2+%29+=+q+\"
\n" ); document.write( "I can say:
\n" ); document.write( "\"+7%5Eq+=+x%2Ay%5E2+\"
\n" ); document.write( "\"+y%5E2+=+%28+7%5Eq+%29+%2F+x+\"
\n" ); document.write( "(2) \"+y+=+%28+7%5E%28q%2F2%29%29+%2F+x%5E%281%2F2%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "From (1),
\n" ); document.write( "\"+x%5E%281%2F2%29+=+7%5E%28p%2F4%29+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(2) \"+y+=+%28+7%5E%28q%2F2%29%29+%2F+7%5E%28p%2F4%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+x%2Ay+=+%28+7%5E%28p%2F2%29+%29%2A%28+7%5E%28q%2F2%29+%29+%2F+7%5E%28+p%2F4%29++\"
\n" ); document.write( "\"+x%2Ay+=++%28+7%5E%282p%2F4%29+%29%2A%28+7%5E%28q%2F2%29+%29+%2F+7%5E%28+p%2F4%29++\"
\n" ); document.write( "\"+x%2Ay+=++%28+7%5E%28+p%2F4%29+%29%2A%28+7%5E%28q%2F2%29+%29+\"
\n" ); document.write( "\"+x%2Ay+=+7%5E%28+p%2F4+%2B+q%2F2+%29+\"
\n" ); document.write( "\"+%28+x%2Ay+%29%5E%281%2F3%29+=+7%5E%28+p%2F12+%2B+q%2F6+%29+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "Rewriting this:
\n" ); document.write( "\"+log%28+7%2C+%28x%2Ay%29%5E%281%2F3%29+%29+=+p%2F12+%2B+q%2F6+\"
\n" ); document.write( "Hope I got it\r
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