document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300365>Question 300365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log625(1/5)=x\r<BR>\n" );
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document.write( "I get to the point of 625^x=-5 and I am confused.  May I please ask for assistance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215552 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=215552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log625(1/5)=x <BR>\n" );
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document.write( "Write the equation in exponential form. <BR>\n" );
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document.write( "625^x = (1/5)<BR>\n" );
document.write( "Write the right side in exponential form.<BR>\n" );
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document.write( "625^x = 5^(-1)<BR>\n" );
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document.write( "Since the base is 5 on the right side, convert the left <BR>\n" );
document.write( "side to base 5:<BR>\n" );
document.write( "(5^4)^x = 5^(-1)<BR>\n" );
document.write( "5^(4x) = 5^(-1)<BR>\n" );
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document.write( "The bases are the same so equate the exponents.<BR>\n" );
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document.write( "4x = -1<BR>\n" );
document.write( "x = -1/4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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