document.write( "Question 151484: please solve and show the work for 5^x=25^4
\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #111348 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"5%5Ex=25%5E4\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5%5Ex=%285%5E2%29%5E4\" Rewrite \"25\" as \"5%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5%5Ex=5%5E%282%2A4%29\" Multiply the exponents.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5%5Ex=5%5E%288%29\" Multiply.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since the bases are equal, this means that the exponents are equal. So\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=8\"
\n" ); document.write( "
\n" );