document.write( "Question 898996: Solve the following exponential equation: 9^(x+1)-3^(x+3)-3^x+3=0. Show your calculations. \n" ); document.write( "

Algebra.Com's Answer #545111 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9%5E%28x%2B1%29-3%5E%28x%2B3%29-3%5Ex%2B3=0\"$
\n" ); document.write( " $\"%283%5E2%29%5E%28x%2B1%29-3%5E%28x%2B3%29-3%5Ex%2B3=0\"$
\n" ); document.write( " $\"3%5E%282%2A%28x%2B1%29%29-3%5E%28x%2B3%29-3%5Ex%2B3=0\"$
\n" ); document.write( " $\"3%5E%282x%2B2%29-3%5E%28x%2B3%29-3%5Ex%2B3=0\"$
\n" ); document.write( " $\"9%2A3%5E%282x%29-27%2A3%5E%28x%29-3%5Ex%2B3=0\"$
\n" ); document.write( " $\"9%2A3%5E%282x%29-28%2A3%5E%28x%29%2B3=0\"$
\n" ); document.write( "Substitute $\"u=3%5Ex\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"9u%5E2-28u%2B3=0\"$
\n" ); document.write( " $\"%28u-3%29%289u-1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"u-3=0\"$
\n" ); document.write( " $\"u=3\"$
\n" ); document.write( " $\"3%5Ex=3\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "and
\n" ); document.write( " $\"9u-1=0\"$
\n" ); document.write( " $\"9u=1\"$
\n" ); document.write( " $\"u=1%2F9\"$
\n" ); document.write( " $\"3%5Ex=1%2F9\"$
\n" ); document.write( " $\"x=-2\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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