document.write( "Question 373931: Solve the equation by making the bases the same on each side of the equation\r
\n" ); document.write( "\n" ); document.write( "5^x=1/125 \n" ); document.write( "

Algebra.Com's Answer #266172 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5%5Ex+=+1%2F125\"$
\n" ); document.write( " $\"5%5Ex+=+%28125%29%5E%28-1%29\"$ Substitute $\"125+=+5%5E3\"$
\n" ); document.write( " $\"5%5Ex+=+%285%5E3%29%5E%28-1%29\"$ Simplify.
\n" ); document.write( " $\"5%5Ex+=+5%5E%28-3%29\"$ The bases are equal, so the exponents are equal.
\n" ); document.write( " $\"x+=+-3\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"5%5E%28-3%29+=+1%2F125\"$
\n" ); document.write( " $\"1%2F5%5E3+=+1%2F125\"$ $\"5%5E3+=+125\"$ so...
\n" ); document.write( " $\"1%2F125+=+1%2F125\"$ \n" ); document.write( "

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