document.write( "Question 1114110: Solve $\"Solve+\"$ (9/16)^(2-x)=(64/27)^x \n" ); document.write( "

Algebra.Com's Answer #729122 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Note that $\"9%2F16+=+%283%2F4%29%5E2\"$ and $\"64%2F27+=+%284%2F3%29%5E3\"$ .

\n" ); document.write( "To solve the equation, we want to make the fractions the same. So rewrite $\"%284%2F3%29%5E3\"$ as $\"%283%2F4%29%5E%28-3%29\"$ .

\n" ); document.write( "Then

\n" ); document.write( " $\"%289%2F16%29%5E%282-x%29=%2864%2F27%29%5Ex\"$
\n" ); document.write( " $\"%28%283%2F4%29%5E2%29%5E%282-x%29+=+%28%28%283%2F4%29%5E-3%29%5Ex%29%29\"$
\n" ); document.write( " $\"%283%2F4%29%5E%284-2x%29+=+%283%2F4%29%5E%28-3x%29\"$
\n" ); document.write( " $\"4-2x+=+-3x\"$
\n" ); document.write( " $\"x+=+-4\"$ \n" ); document.write( "

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