document.write( "Question 17183: Solve 7^-x = 49^x+3 without using logarithms. I can't find anything about this in my book. Please help. Thank you. \n" ); document.write( "

Algebra.Com's Answer #8568 by xcentaur(357) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+7%5E%28-x%29+=+49%5E%28x%2B3%29+\"$
\n" ); document.write( " $\"+7%5E%28-x%29+=+%28%28%287%29%5E2%29%5E%28x%2B3%29%29+\"$
\n" ); document.write( " $\"+7%5E%28-x%29+=+7%5E%282%28x%2B3%29%29+\"$
\n" ); document.write( "equating the bases we get,
\n" ); document.write( "-x=2(x+3)
\n" ); document.write( "-x=2x+6
\n" ); document.write( "-3x=6
\n" ); document.write( "x=-2
\n" ); document.write( "

\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

\n" );