document.write( "Question 377568: solve the equation 5^x + 5^-x = 2 set y = 5^x \n" ); document.write( "

Algebra.Com's Answer #268305 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5%5Ex%2B5%5E%28-x%29=2\"$
\n" ); document.write( " $\"5%5Ex%2B1%2F5%5E%28x%29=2\"$
\n" ); document.write( "Let $\"y=5%5Ex\"$
\n" ); document.write( " $\"y%2B1%2Fy=2\"$
\n" ); document.write( " $\"y%5E2%2B1=2y\"$
\n" ); document.write( " $\"y%5E2-2y%2B1=0\"$
\n" ); document.write( " $\"%28y-1%29%5E2=0\"$
\n" ); document.write( " $\"y-1=0\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( " $\"5%5Ex=1\"$
\n" ); document.write( " $\"highlight%28x=0%29\"$ \n" ); document.write( "

\n" );