document.write( "Question 813878: How do you solve this step by step? 3^(x-3)= (1/9)^-x \n" ); document.write( "

Algebra.Com's Answer #490020 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+3%5E%28x-3%29+=+%281%2F9%29%5E%28-x%29+\"$
\n" ); document.write( "Note that $\"+1%2F9+=+9%5E%28-1%29+\"$ , and
\n" ); document.write( " $\"+9%5E%28-1%29+=+%28+3%5E2+%29%5E%28-1%29+\"$
\n" ); document.write( " $\"+%28+3%5E2+%29%5E%28-1%29+=+3%5E%28-2%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Now I have
\n" ); document.write( " $\"+3%5E%28x-3%29+=+%28+3%5E%28-2%29+%29%5E%28-x%29+\"$
\n" ); document.write( " $\"+3%5E%28+x-3+%29+=+3%5E%282x%29+\"$
\n" ); document.write( " $\"+x-3+=+2x+\"$
\n" ); document.write( " $\"+x+=+-3+\"$
\n" ); document.write( "---------
\n" ); document.write( "check:
\n" ); document.write( " $\"+3%5E%28x-3%29+=+%281%2F9%29%5E%28-x%29+\"$
\n" ); document.write( " $\"+3%5E%28-3-3%29+=+%281%2F9%29%5E%28-%28-3%29+%29+\"$
\n" ); document.write( " $\"+3%5E%28-6%29+=+%281%2F9%29%5E3+\"$
\n" ); document.write( " $\"+3%5E%28-6%29+=+%283%5E%28-2%29%29%5E3+\"$
\n" ); document.write( " $\"+3%5E%28-6%29+=+3%5E%28-6%29+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );