document.write( "Question 1003768: What is X in (3x)^(1+ log of X base 3)=3 and how do I get to it? \n" ); document.write( "

Algebra.Com's Answer #620415 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
(3x)^(1+ log of X base 3)=3
\n" ); document.write( "---------
\n" ); document.write( " $\"%283x%29%5E%281%2B+log%283%2CX%29%29=3\"$
\n" ); document.write( " $\"3x%2A%283x%29%5Elog%283%2CX%29%29=3\"$
\n" ); document.write( " $\"x%2A%283x%29%5Elog%283%2CX%29%29=1\"$
\n" ); document.write( " $\"x%2A%283%5Elog%283%2CX%29%29%2A%28x%5Elog%283%2Cx%29%29+=+1\"$
\n" ); document.write( " $\"x%2Ax%2A%28x%5Elog%283%2Cx%29%29+=+1\"$
\n" ); document.write( " $\"x%5E%28log%283%2Cx%29%29+=+1%2Fx%5E2+=+x%5E-2\"$
\n" ); document.write( " $\"log%283%2Cx%29+=+-2\"$
\n" ); document.write( " $\"x+=+3%5E%28-2%29\"$
\n" ); document.write( "x = 1/9
\n" ); document.write( "-------------
\n" ); document.write( "Check:
\n" ); document.write( "(1/3)^(1-2) = 3
\n" ); document.write( "It's correct.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );