document.write( "Question 201772: (1/5)^2x=625, solve for x \n" ); document.write( "

Algebra.Com's Answer #152016 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( " $\"%281%2F5%29%5E%282x%29+=+625\"$ Substitute $\"625+=+5%5E4\"$
\n" ); document.write( " $\"%281%2F5%29%5E%282x%29+=+5%5E4\"$ Substitute $\"5%5E4+=+%281%2F5%29%5E-4\"$
\n" ); document.write( " $\"%281%2F5%29%5E%282x%29+=+%281%2F5%29%5E-4\"$ If the bases ( $\"1%2F5\"$ ) are equal, the exponents are equal, so...
\n" ); document.write( " $\"2x+=+-4\"$ Divide both sides by 2.
\n" ); document.write( " $\"highlight%28x+=+-2%29\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"%281%2F5%29%5E%282x%29+=+625\"$ Substitute x = -2.
\n" ); document.write( " $\"%281%2F5%29%5E-4+=+625\"$
\n" ); document.write( " $\"5%5E4+=+625\"$
\n" ); document.write( " $\"625+=+625\"$ OK! \n" ); document.write( "

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