document.write( "Question 447700: solve for x; 9 to the x power = .75 \n" ); document.write( "

Algebra.Com's Answer #308228 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
solve for x; 9 to the x power = .75
\n" ); document.write( " $\"9%5Ex\"$ = .75
\n" ); document.write( "Using nat logs
\n" ); document.write( " $\"ln%289%5Ex%29\"$ = ln(.75)
\n" ); document.write( "log equiv of exponents
\n" ); document.write( "x*ln(9) = ln(.75)
\n" ); document.write( "x = $\"ln%28.75%29%2Fln%289%29\"$
\n" ); document.write( "x = -.131
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check on a calc: enter 9^-.131, results .74988 ~.75
\n" ); document.write( " \n" ); document.write( "

\n" );