document.write( "Question 887532: Solve for x:\r
\n" ); document.write( "\n" ); document.write( "2^(3x-1) = 4^(2x)\r
\n" ); document.write( "\n" ); document.write( "I used logarithms to start this problem but I'm having trouble simplifying the problem. Here is what I have been able to do so far.\r
\n" ); document.write( "\n" ); document.write( "log2^(3x-1) = log4^(2x)
\n" ); document.write( "(3x-1)log2 = (2x)log4
\n" ); document.write( "(3x-1)= (2x)log4/log2 \n" ); document.write( "

Algebra.Com's Answer #536711 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Where you left off:
\n" ); document.write( " $\"+3x+-+1+=+2x%2A%28+log%284%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+3x+-+1+=+2x%2A%28+log%28+2%5E2+%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+3x+-+1+=+2x%2A2%2A%28+log%282%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+3x+-+1+=+2x%2A2%2A1+\"$
\n" ); document.write( " $\"+3x+-+1+=+4x+\"$
\n" ); document.write( " $\"+x+=+-1+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+3x+-+1+=+2x%2A%28+log%284%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+3%2A%28-1%29+-+1+=+2%2A%28-1%29%2A%28+log%284%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+-3+-1+=+-2%2A%28+log%284%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+%28+-4+%29+%2F+%28+-2+%29++=+%28+log%284%29+%2F+log%282%29+%29+\"$
\n" ); document.write( " $\"+2%2Alog%282%29++=+log%284%29+\"$
\n" ); document.write( " $\"+log%284%29+=+log%284%29+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );