document.write( "Question 879705: Show that the equation 2^x+1 + 2^x-1= 160 can be written in the form 2.5 x 2^x=160. Hence find the value of x which satisfies the equation. \r
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Algebra.Com's Answer #530980 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%5E%28x%2B1%29=2%5Ex%2A2%5E1=2%2A2%5Ex\"$
\n" ); document.write( " $\"2%5E%28x-1%29=2%5Ex%2A2%5E%28-1%29=%281%2F2%292%5Ex\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"2%5E%28x%2B1%29%2B2%5E%28x-1%29=150\"$
\n" ); document.write( " $\"2%2A2%5Ex%2B%281%2F2%29%2A2%5Ex=160\"$
\n" ); document.write( " $\"%282%2B1%2F2%29%2A2%5E%28x%29=160\"$
\n" ); document.write( " $\"%285%2F2%292%5E%28x%29=160\"$
\n" ); document.write( " $\"2%5Ex=320%2F5\"$
\n" ); document.write( " $\"2%5Ex=84\"$
\n" ); document.write( " $\"x=log%28%2884%29%29%2Flog%28%282%29%29\"$
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