document.write( "Question 191772This question is from textbook saxon algebra 2
\n" ); document.write( ": 1000^8x=100
\n" ); document.write( "x=5/32
\n" ); document.write( "Am I correct?
\n" ); document.write( "

Algebra.Com's Answer #143880 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"1000%5E%288x%29=100\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%2810%5E3%29%5E%288x%29=10%5E2\" Rewrite 1000 as \"10%5E3\" and 100 as \"10%5E2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10%5E%283%288x%29%29=10%5E2\" Multiply the exponents.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10%5E%2824x%29=10%5E2\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"24x=2\" Since the bases are equal, this means that the exponents are equal.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%282%29%2F%2824%29\" Divide both sides by \"24\" to isolate \"x\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=1%2F12\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answer is \"x=1%2F12\" which approximates to \"x=0.083\".
\n" ); document.write( "
\n" );