document.write( "Question 917689: How to solve for x: \r
\n" ); document.write( "\n" ); document.write( "a^(6k) = e^(kx)\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #556762 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+a%5E%286k%29+=+e%5E%28k%2Ax%29+\"
\n" ); document.write( "\"+%28+a%5E6+%29%5Ek+=+%28+e%5Ex+%29%5Ek+\"
\n" ); document.write( "Take the kth root of both sides
\n" ); document.write( "\"+a%5E6+=+e%5Ex+\"
\n" ); document.write( "\"+ln%28+a%5E6+%29+=+x+\"
\n" ); document.write( "\"+x+=+6%2Aln%28+a+%29+\"
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+a%5E%286k%29+=+e%5E%28k%2Ax%29+\"
\n" ); document.write( "\"+ln%28+a%5E%286k%29+%29+=+k%2Ax+\"
\n" ); document.write( "\"+k%2Aln%28a%5E6+%29+=+k%2A6%2Aln%28a%29+\"
\n" ); document.write( "\"+k%2Aln%28+a%5E6+%29+=+k%2Aln%28+a%5E6+%29+\"
\n" ); document.write( "OK\r
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