document.write( "Question 1053561: what is the value of x in the exponential equation 4^(5-9x)=1/8^(x-2) \n" ); document.write( "

Algebra.Com's Answer #668776 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since $\"1%2F8=1%2F2%5E3=2%5E%28-3%29\"$ and $\"2%5E2=4\"$
\n" ); document.write( " $\"2%5E%282%285-9x%29%29=2%5E%28-3%28x-2%29%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"2%285-9x%29=-3%28x-2%29\"$
\n" ); document.write( " $\"10-18x=-3x%2B6\"$
\n" ); document.write( " $\"-15x=-4\"$
\n" ); document.write( " $\"x=4%2F15\"$
\n" ); document.write( " \n" ); document.write( "

\n" );