document.write( "Question 888937: 16^x+4^(x+1)-3=0\r
\n" ); document.write( "\n" ); document.write( "need help solving and getting the answer. \n" ); document.write( "

Algebra.Com's Answer #537791 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"16%5Ex%2B4%5E%28x%2B1%29-3=0\"$
\n" ); document.write( " $\"%284%5E2%29%5Ex%2B4%5E%28x%2B1%29-3=0\"$
\n" ); document.write( " $\"4%5E%282x%29%2B4%2A4%5E%28x%29-3=0\"$
\n" ); document.write( "Substitute, let $\"u=4%5Ex\"$
\n" ); document.write( " $\"u%5E2%2B4u-3=0\"$
\n" ); document.write( " $\"%28u%5E2%2B4u%2B4%29-3-4=0\"$
\n" ); document.write( " $\"%28u%2B2%29%5E2=7\"$
\n" ); document.write( " $\"u%2B2=0+%2B-+sqrt%287%29\"$
\n" ); document.write( " $\"u=-2+%2B-+sqrt%287%29\"$
\n" ); document.write( " $\"4%5Ex=-2+%2B-+sqrt%287%29\"$
\n" ); document.write( "Only the positive solution makes sense for this problem.
\n" ); document.write( " $\"4%5Ex=sqrt%287%29-2\"$
\n" ); document.write( " $\"highlight%28x=log%28%28sqrt%287%29-2%29%29%2Flog%28%284%29%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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