document.write( "Question 1178302: If \"+log%28x%2C+y%5E4%29+=+m%5E3+\" and \"+log%28y%2C+x%29+=+4+%2F+m%5E2+\", prove that m = 1.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #807508 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "If \"+log%28x%2Cy%5E4%29+=+m%5E3+\" and \"+log%28y%2C+x%29+=+4%2Fm%5E2+\", prove that \"m+=+1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+log%28x%2Cy%5E4%29+=+m%5E3+\" \r
\n" ); document.write( "\n" ); document.write( "\"+4log%28x%2Cy%29+=+m%5E3+\" \r
\n" ); document.write( "\n" ); document.write( "\"+log%28x%2Cy%29+=+m%5E3%2F4+\" ........change to base \"10\"\r
\n" ); document.write( "\n" ); document.write( "\"+log%28y%29%2Flog%28x%29+=+m%5E3%2F4+\" ...........eq.1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+log%28y%2C+x%29+=+4%2Fm%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"+log%28+x%29%2Flog%28y+%29=+4%2Fm%5E2+\"\r
\n" ); document.write( "\n" ); document.write( "\"+log%28+x%29=+%284%2Fm%5E2+%29log%28y+%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+log%28y+%29%2Flog%28+x%29=+1%2F%284%2Fm%5E2+%29\"..........eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if left sides of eq.1 and eq.2 are same, then\r
\n" ); document.write( "\n" ); document.write( "\"+m%5E3%2F4=+1%2F%284%2Fm%5E2+%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+m%5E3%284%2Fm%5E2+%29=+1%2A4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+m%5Ecross%283%29%284%2Fcross%28m%5E2%29+%29=+4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+m%2A4=+4\"\r
\n" ); document.write( "\n" ); document.write( "\"+m=1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );