document.write( "Question 838967: (9^x+1) + 1 = 10(3^x) \n" ); document.write( "

Algebra.Com's Answer #505506 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9=3%5E2\"$
\n" ); document.write( " $\"9%5E%28x%2B1%29=%283%5E2%29%5E%28x%2B1%29=3%5E%282%28x%2B1%29%29\"$
\n" ); document.write( " $\"3%5E%282x%2B2%29%2B1=10%2A3%5Ex\"$
\n" ); document.write( " $\"3%5E%282x%29%2A3%5E2-10%2A3%5Ex-1=0\"$
\n" ); document.write( " $\"9%2A3%5E%282x%29-10%2A3%5Ex%2B1=0\"$
\n" ); document.write( "Let $\"u=3%5Ex\"$ , $\"u%5E2=3%5E%282x%29\"$
\n" ); document.write( " $\"9u%5E2-10u%2B1=0\"$
\n" ); document.write( " $\"%289u-1%29%28u-1%29=0\"$
\n" ); document.write( "Two solutions:
\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( " $\"highlight%28x=-2%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"u-1=0\"$
\n" ); document.write( " $\"u=1\"$
\n" ); document.write( " $\"3%5Ex=1\"$
\n" ); document.write( " $\"highlight%28x=0%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );