document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152005>Question 152005</A>: <I><SPAN STYLE=\"word-break: break-all;\">   5^(x+7)=625^(x-7)<BR>\n" );
document.write( "  x= ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111731 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note that 625 = 5^4.<BR>\n" );
document.write( "So the original equation 5^(x+7)=625^(x-7) becomes:<BR>\n" );
document.write( "5^(x+7)=5^4(x-7)<BR>\n" );
document.write( "Therefore x+7 = 4(x-7)<BR>\n" );
document.write( "Solving the above equation for x, we have<BR>\n" );
document.write( "x + 7 = 4x - 28<BR>\n" );
document.write( "3x = 35<BR>\n" );
document.write( "x = 35/3<BR>\n" );
document.write( " </SPAN>\n" );
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