document.write( "Question 577682: how would i go about answering this question:\r
\n" ); document.write( "\n" ); document.write( "solve for x using logarithms:\r
\n" ); document.write( "\n" ); document.write( "9^2x * 9 = (27^2x)/27 \n" ); document.write( "

Algebra.Com's Answer #370256 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+9%5E%282x%29+%2A+9+=+%2827%5E%282x%29%29%2F27+\"$
\n" ); document.write( "I would rewrite this as:
\n" ); document.write( " $\"+9%5E%28+2x+%2B+1%29+=+27%5E%282x%29+%2A+27%5E%28-1%29+\"$
\n" ); document.write( " $\"+9%5E%28+2x+%2B+1+%29+=+27%5E%28+2x+-+1+%29+\"$
\n" ); document.write( "Now I can say $\"+27+=+9%5E%283%2F2%29+\"$
\n" ); document.write( "This is true because $\"+9%5E%281%2F2%29+=+3+\"$ and
\n" ); document.write( " $\"+3%5E3+=+27+\"$
\n" ); document.write( " $\"+9%5E%28+2x+%2B+1+%29+=+%28+9%5E%283%2F2%29%29%5E%28+2x+-+1+%29+\"$
\n" ); document.write( " $\"+9%5E%28+2x+%2B+1+%29+=+9%5E%28+3x+-+3%2F2+%29+\"$
\n" ); document.write( "Take the log to base 9 of both sides
\n" ); document.write( " $\"+2x+%2B+1+=+3x+-+3%2F2+\"$
\n" ); document.write( " $\"+x+=+2%2F2+%2B+3%2F2+\"$
\n" ); document.write( " $\"+x+=+5%2F2+\"$
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+9%5E%282x%29+%2A+9+=+%2827%5E%282x%29%29%2F27+\"$
\n" ); document.write( " $\"+9%5E%282%2A5%2F2%29+%2A+9+=+%2827%5E%282%2A5%2F2%29%29%2F27+\"$
\n" ); document.write( " $\"+9%5E5+%2A+9+=+27%5E5+%2F+27+\"$
\n" ); document.write( " $\"+9%5E6+=+27%5E4+\"$
\n" ); document.write( " $\"+9%5E6+=+%283%5E3%29%5E4+\"$
\n" ); document.write( " $\"+%283%5E2%29%5E6+=+3%5E12+\"$
\n" ); document.write( " $\"+3%5E12+=+3%5E12+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );