document.write( "Question 912307: 4^x + 4^(-x) = 4 \n" ); document.write( "

Algebra.Com's Answer #554378 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"u=4%5Ex\"$
\n" ); document.write( " $\"u%2B1%2Fu=4\"$
\n" ); document.write( " $\"u%5E2%2B1=4u\"$
\n" ); document.write( " $\"u%5E2-4u%2B1=0\"$
\n" ); document.write( " $\"u%5E2-4u%2B4%2B1=4\"$
\n" ); document.write( " $\"%28u-2%29%5E2=3\"$
\n" ); document.write( " $\"u-2=0+%2B-+sqrt%283%29\"$
\n" ); document.write( " $\"u=2+%2B-+sqrt%283%29\"$
\n" ); document.write( " $\"4%5Ex=2+%2B-+sqrt%283%29\"$
\n" ); document.write( " $\"x=log%284%2C%282+%2B-+sqrt%283%29%29%29\"$
\n" ); document.write( " $\"x=log%28%282+%2B-+sqrt%283%29%29%29%2Flog%28%284%29%29\"$ \n" ); document.write( "

\n" );