document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106647>Question 106647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Exponential equation without logs.  Solve for x:\r<BR>\n" );
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document.write( "(4/5)^(-4x+5)= 64/125 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77619 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=77619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Exponential equation without logs.  Solve for x:\r<BR>\n" );
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document.write( "(4/5)^(-4x+5)= 64/125\r<BR>\n" );
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document.write( "(4/5)^(-4x+5) = (4/5)^3\r<BR>\n" );
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document.write( "Since the bases are the same the exponents are equal:\r<BR>\n" );
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document.write( "-4x+5 = 3<BR>\n" );
document.write( "-4x = -2<BR>\n" );
document.write( "x = 1/2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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