document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171132>Question 171132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a and b is positive integer.how could you get solution this equation?<BR>\n" );
document.write( "     3power a -7 power b=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126602 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=126602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a and b is positive integer.how could you get solution this equation?<BR>\n" );
document.write( "3power a -7 power b=0<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ea+=+7%5Eb ALIGN=MIDDLE  ALT=\"3%5Ea+=+7%5Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%5Ea%29+=+log%287%5Eb%29 ALIGN=MIDDLE  ALT=\"log%283%5Ea%29+=+log%287%5Eb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a*log(3) = b*log(7)<BR>\n" );
document.write( "a/b = log(7)/log(3) =~ 1.7712<BR>\n" );
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document.write( "It's difficult, and maybe impossible, to prove that there are no 2 integers with that ratio.<BR>\n" );
document.write( "However, it is not possible to find a and b that satisfy the given conditions except a = b = 0.<BR>\n" );
document.write( "3 to any integer power will have factors of only 3's, no 7's, and vice versa.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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