document.write( "Question 673067: How do I solve the equation 4^2X=64? The teacher gave us the answer, 3/2, but I don't know the steps to get to that answer. \n" ); document.write( "
Algebra.Com's Answer #418468 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
How do I solve the equation 4^2X=64? The teacher gave us the answer, 3/2, but I don't know the steps to get to that answer.
\n" ); document.write( "-----------
\n" ); document.write( "\"4%5E%282x%29+=+64\"
\n" ); document.write( "\"%282%5E2%29%5E%282x%29+=+64\"
\n" ); document.write( "\"2%5E%284x%29+=+64+=+2%5E6\"
\n" ); document.write( "4x = 6
\n" ); document.write( "x = 3/2
\n" ); document.write( "That's one way.
\n" ); document.write( "==============
\n" ); document.write( "\"4%5E%282x%29+=+64+=+4%5E3\"
\n" ); document.write( "2x = 3, etc
\n" ); document.write( "==============
\n" ); document.write( "\"4%5E%282x%29+=+64\"
\n" ); document.write( "2x*log(4) = log(64)
\n" ); document.write( "\"x+=+log%2864%29%2F%282log%284%29%29\"
\n" ); document.write( "x = 3/2
\n" ); document.write( "
\n" ); document.write( "
\n" );