document.write( "Question 1007709: What is the solution for the exponential equation 9^-x=(1/3) \n" ); document.write( "

Algebra.Com's Answer #623568 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9%5E%28-x%29+=+1%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"9%5E%28-x%29+=+3%5E%28-1%29\"$ Rewrite the right side\r
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\n" ); document.write( "\n" ); document.write( " $\"%283%5E2%29%5E%28-x%29+=+3%5E%28-1%29\"$ Change 9 to $\"3%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"3%5E%28-2x%29+=+3%5E%28-1%29\"$ Use the third rule\r
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\n" ); document.write( "\n" ); document.write( " $\"-2x+=+-1\"$ The bases are equal, so the exponents must be equal.\r
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\n" ); document.write( "\n" ); document.write( " $\"-2x%2F%28-2%29+=+-1%2F%28-2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x+=+1%2F2\"$ \n" ); document.write( "

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